Sifat-sifat Submodul Prima dan Submodul Prima Lemah

2020 ◽  
Vol 2 (2) ◽  
pp. 183
Author(s):  
Hisyam Ihsan ◽  
Muhammad Abdy ◽  
Samsu Alam B

Penelitian ini merupakan penelitian kajian pustaka yang bertujuan untuk mengkaji sifat-sifat submodul prima dan submodul prima lemah serta hubungan antara keduanya. Kajian dimulai dari definisi submodul prima dan submodul prima lemah, selanjutnya dikaji mengenai sifat-sifat dari keduanya. Pada penelitian ini, semua ring yang diberikan adalah ring komutatif dengan unsur kesatuan dan modul yang diberikan adalah modul uniter. Sebagai hasil dari penelitian ini diperoleh beberapa pernyataan yang ekuivalen, misalkan  suatu -modul ,  submodul sejati di  dan ideal di , maka ketiga pernyataan berikut ekuivalen, (1)  merupakan submodul prima, (2) Setiap submodul tak nol dari   -modul memiliki annihilator yang sama, (3) Untuk setiap submodul  di , subring  di , jika berlaku  maka  atau . Di lain hal, pada submodul prima lemah jika diberikan  suatu -modul,  submodul sejati di , maka pernyataan berikut ekuivalen, yaitu (1) Submodul  merupakan submodul prima lemah, (2) Untuk setiap , jika  maka . Selain itu, didapatkan pula hubungan antara keduanya, yaitu setiap submodul prima merupakan submodul prima lemah.Kata Kunci: Submodul Prima, Submodul Prima Lemah, Ideal Prima. This research is literature study that aims to examine the properties of prime submodules and weakly prime submodules and the relationship between  both of them. The study starts from the definition of prime submodules and weakly prime submodules, then reviewed about the properties both of them. Throughout this paper all rings are commutative with identity and all modules are unitary. As the result of this research, obtained several equivalent statements, let  be a -module,  be a proper submodule of  and  ideal of , then the following three statetments are equivalent, (1)  is a prime submodule, (2) Every nonzero submodule of   -module has the same annihilator, (3) For any submodule  of , subring  of , if  then  or . In other case, for weakly prime submodules, if given  is a unitary -module,  be a proper submodule of , then the following statements are equivalent, (1)  is a weakly prime submodule, (2) For any , if  then . In addition, also found the relationship between both of them, i.e. any prime submodule is weakly prime submodule.Keywords: Prime Submodules, Weakly Prime Submdules, Prime Ideal.

2019 ◽  
Vol 32 (2) ◽  
pp. 103
Author(s):  
Ali Sh. Ajeel ◽  
Haibat K. Mohammad Ali

In this research note approximately prime submodules is defined as a new generalization of prime submodules of unitary modules over a commutative ring with identity. A proper submodule  of an -module  is called an approximaitly prime submodule of  (for short app-prime submodule), if when ever , where , , implies that either  or . So, an ideal  of a ring  is called app-prime ideal of  if   is an app-prime submodule of -module . Several basic properties, characterizations and examples of approximaitly prime submodules were given. Furthermore, the definition of approximaitly prime radical of submodules of modules were introduced, and some of it is properties were established.


2021 ◽  
Vol 6 (1) ◽  
pp. 39
Author(s):  
Arina Rahmatika ◽  
Ninda Khoirullina

The purpose of this research is to discuss how the discourse of the concept of Islamic da'wah by Rahmatan Lil'alamin according to Bangkit Magazine is seen from its main ideas to the characteristics of its preaching. Islam is a religion that was revealed by Allah SWT to the Prophet Muhammad SAW which regulates the relationship between humans and God and also regulates the relationship between humans and humans and the universe which benefits each other, therefore Islam has the principle of Rahmatan lil 'Alamin, which is a blessing for the universe. This research in extracting data using direct interviews to magazine administrators, literature study and documentation. From the research results, it can be found that Islam Rahmatan lil 'Alamin according to Bangkit Magazine is an Islam that is peaceful, just, tolerant and in accordance with the values of aswaja. The definition of Rahmatan lil 'Alamin is also not much different from the big concept of Islam which is in accordance with the teachings of NU (Nahdlatul Ulama). Islamic Perspective Rahmatan lil 'Alamin Bangkit Magazine is also sustainable with the characteristics of Islam Rahmatan lil' Alamin including non-violence, prioritizing peace, brotherhood, mutual respect and good things. As for the solution to restore the current image of Islam, namely by making Islam Rahmatan lil 'Alamin as a protector in preaching, with that Islam will also gradually create a vision full of tenderness and peace.


Author(s):  
Haibat K. Mohammadali ◽  
Ali Sh. Ajeel

“Let  be a commutative ring with identity and  is a left unitary -module. A proper submodule  of  is called a quasi-prime submodule, if whenever , where ,  implies that either  or ”. As a generalization of a quasi-prime submodules, in this paper we introduce the concept of approximaitly quasi-prime submodules, where a proper submodule  of  is an approximaitly quasi-prime submodule, if whenever , where ,  implies that either  or , where  is the intersection of all essential submodules of . Many basic properties, characterization and examples of this concept are given. Furthermore, we study the behavior of approximaitly quasi-prime submodules under -homomorphisms. Finally, we introduced characterizations of approximaitly quasi-prime submodule in class of multiplication modules.


Author(s):  
Oleksii Chepov ◽  

The qualitative and clear definition of the legal regime of the capital of Ukraine, the hero city of Kyiv, is influenced by its legislative enshrinement, however, it should be noted that discussions are ongoing and one of the reasons for the unclear legal status of the capital is the ambiguity of current legislation in this area. Separation of the functions of the city of Kyiv, which are carried out to ensure the rights of citizens of Ukraine and the functions that guarantee the rights of the territorial community of the city of Kyiv. In the modern world, in legal doctrine and practice, the capital is understood as the capital of the country, which at the legislative level received this status and, accordingly, is the administrative and political center of the state, which houses the main state bodies and diplomatic missions of other states. It is the identification of the boundaries of the relationship between the competencies of state administrations and local self-government, in practice, often raises questions about their delimitation and ways of regulatory solution. Peculiarities of local self-government in Kyiv city districts are defined in the provisions of the Law on the Capital, which reveal the norms of the Constitution in these legal relations, according to which the issue of organizing district management in cities belongs to city councils. Likewise, it is unregulated by law to lose the particularity of the legal status of the territory of the city. It should be emphasized that the subject of administrative-legal relations is not a certain administrative-territorial entity, but the social group is designated - the territorial community of the city of Kiev, kiyani. Thus, the provisions on the city of Kyiv partially ignore the potential of the territorial community.


2018 ◽  
Vol 2 (2) ◽  
pp. 99 ◽  
Author(s):  
Dwiyanto Indiahono ◽  
Erwan Purwanto ◽  
Agus Pramusinto

This research aims to examine differences in the relationship of bureaucratic and political officials during the New Order (Soeharto’s era) and the Reformation (post-Soeharto) era within the arena of public policy implementation. This is a matter of importance given that there is a change in relations between the two from integration in the New Order to bureaucratic impartiality in the Reformation Era. This study attempts to answer the question: How were the relations of bureaucratic and political officials in the implementation of local level public policy during the New Order and the Reformation Era? A qualitative research has been conducted in Tegal Municipality using the following data collection techniques: interview, focus group discussion, documentation, and observation. Tegal Municipality was selected as the study location because of the unique relationship shown between the mayor and the bureaucracy. Its uniqueness lies in the emergence of bureaucratic officials who dare to oppose political officials, based on their convictions that bureaucratic/public values should be maintained even if it means having to be in direct conflict with political officials. This research indicates that the relationship between bureaucratic and political officials in the arena of local level policy implementation during the New Order was characterized as being full of pressure and compliance, whereas during the Reformation Era bureaucrats have the audacity to hinder policy implementation. Such audacity to thwart policies is considered to have developed from a stance that aims to protect public budget and values in policies. The occurring conflict of values here demonstrates a dichotomy of political and bureaucratic officials that is different from the prevailing definition of politics-administration dichotomy introduced at the onset of Public Administration studies.


Author(s):  
Natalia Popova

The concept of Europeanization has become quite fashionable in EU studies in recent years. It is often used for the analysis of the relations between the EU and non-member states. The aim of the article is to examine the possibilities of its application in explaining the relationship between the EU and Ukraine. The structure of the article is as follows: firstly, the concept of Europeanization is defined considering such two disputable issues as distinguishing among concepts of Europeanization and European integration as well as Europeanization and EU-ization. Next, the evolution of the theoretical research of Europeanization and definition of this concept are analyzed. Two main mechanisms of Europeanization (conditionality and socialization) are examined. The author considers main approaches to the analysis of the "external" Europeanization emphasizing the concept of "external governance". Three groups of factors which influence the effectiveness of Europeanization are briefly analyzed. And finally, the peculiarities of application of the Europeanization concept to the Ukraine-EU relations are outlined. Keywords: EU, Ukraine, Europeanization, EU-ization, ‘external’ Europeanization, conditionality, socialization, concept of ‘external governance’


Author(s):  
Суусар Искендерова

Аннотация: Исследование проблемы фольклоризма является наиболее актуальной в современной науке о фольклоре. На разных этапах развития художественной литературы для формирования индивидуального творчества писателя особенно значимым становятся фольклорные жанры, сюжетные мотивы и художественные средства. В статье рассматривается связь письменной литературы и фольклора, особенно точка зрения проблеме фольклоризма в прошлом и их анализ. Термин «фольклоризм» начал использоваться советскими исследователями учеными как научный термин еще в 1930-х гг. Термин «фольклоризм» используется в различных сферах культуры, а в этой статье мы будем рассматривать в литературе. Несмотря на то, что на протяжении многих лет этот вопрос изучается литературоведами, фольклористами, все -таки нет единого теоретического определения понятия. Ключевые слова: фольклор, фольклоризм, литература, культура, письменная литература, художественная литература, оседлый народ, пословицы и поговорки, фольклорные песни. Аннотация: Көркөм адабияттын өнүгүүсүнүн ар кайсы баскычтарында сүрөткердин жеке чыгармачылыгынын калыптанышы үчүн фольклордук жанрлар, сюжеттер, мотивдер жана көркөм каражаттар айрыкча мааниге ээ. Макалада жазма адабият менен фольклордук карым-катышы, айрыкча фольклоризм маселеси жөнүндө мурдагы көз караштарга кайрылып, аларга талдоо жүргүзүү менен бирге автор өз байкоолорунда келтирет. “Фольклоризм” деген илимий термин 1930-жылы баштап колдонула баштаган. “Фольклоризм” термини маданияттын түрдүү сфераларында кеңири колдо- нулат, бул жерде адабияттагы колдонулушун каралат. Макалада адабий материал менен фольклордук байланышын терең түшүнүү үчүн адабий фольклоризм маселесинин талаштуу жактары каралат. Түйүндүү сөздөр: фольклор, фольклоризм, адабият, маданият, жазма адабият, көркөм адабият, көчмөн калк, макал-лакап, фольклордук ырлар. Annotation: The study of the problem of folklore is the most relevant in the modern science of folklore. At various stages in the development of fiction, folklore genres, plot motifs, and artistic means become especially significant for the formation of the writer's individual creativity. The article examines the relationship between written literature and folklore, especially the point of view of the problem of folklorism in the past and their analysis. The term "folklorism" began to be used by Soviet scholars as a scientific term back in the 1930s. The term "folklorism" is used in various fields of culture, and in this article we will consider in the literature. Despite the fact that for many years this issue has been studied by literary scholars, folklorists, all the same there is no single theoretical definition of the concept. Keywords: folklore, folklorism, literature, culture, written literature, fiction, settled people, proverbs and sayings, folk songs.


Author(s):  
Johannes Lindvall

This chapter introduces the problem of “reform capacity” (the ability of political decision-makers to adopt and implement policy changes that benefit society as a whole, by adjusting public policies to changing economic, social, and political circumstances). The chapter also reviews the long-standing discussion in political science about the relationship between political institutions and effective government. Furthermore, the chapter explains why the possibility of compensation matters greatly for the politics of reform; provides a precise definition of the concept of reform capacity; describes the book's general approach to this problem; and discusses the ethics of compensating losers from reform; and presents the book's methodological approach.


Author(s):  
J. Donald Boudreau ◽  
Eric Cassell ◽  
Abraham Fuks

This book reimagines medical education and reconstructs its design. It originates from a reappraisal of the goals of medicine and the nature of the relationship between doctor and patient. The educational blueprint outlined is called the “Physicianship Curriculum” and rests on two linchpins. First is a new definition of sickness: Patients know themselves to be ill when they cannot pursue their purposes and goals in life because of impairments in functioning. This perspective represents a bulwark against medical attention shifting from patients to diseases. The curriculum teaches about patients as functional persons, from their anatomy to their social selves, starting in the first days of the educational program and continuing throughout. Their teaching also rests on the rock-solid grounding of medicine in the sciences and scientific understandings of disease and function. The illness definition and knowledge base together create a foundation for authentic patient-centeredness. Second, the training of physicians depends on and culminates in development of a unique professional identity. This is grounded in the historical evolution of the profession, reaching back to Hippocrates. It leads to reformulation of the educational process as clinical apprenticeships and moral mentorships. “Rebirth” in the title suggests that critical ingredients of medical education have previously been articulated. The book argues that the apprenticeship model, as experienced, enriched, taught, and exemplified by William Osler, constitutes a time-honored foundation. Osler’s “natural method of teaching the subject of medicine” is a precursor to the Physicianship Curriculum.


2020 ◽  
Vol 10 (14) ◽  
pp. 4761
Author(s):  
Milorad Papic ◽  
Svetlana Ekisheva ◽  
Eduardo Cotilla-Sanchez

Modern risk analysis studies of the power system increasingly rely on big datasets, either synthesized, simulated, or real utility data. Particularly in the transmission system, outage events have a strong influence on the reliability, resilience, and security of the overall energy delivery infrastructure. In this paper we analyze historical outage data for transmission system components and discuss the implications of nearby overlapping outages with respect to resilience of the power system. We carry out a risk-based assessment using North American Electric Reliability Corporation (NERC) Transmission Availability Data System (TADS) for the North American bulk power system (BPS). We found that the quantification of nearby unscheduled outage clusters would improve the response times for operators to readjust the system and provide better resilience still under the standard definition of N-1 security. Finally, we propose future steps to investigate the relationship between clusters of outages and their electrical proximity, in order to improve operator actions in the operation horizon.


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