DIMENSION MODULES AND MODULAR LATTICES

2012 ◽  
Vol 11 (05) ◽  
pp. 1250082
Author(s):  
P. DOMAGALSKA ◽  
E. R. PUCZYŁOWSKI

A module M is called a dimension module if the Goldie (uniform) dimension satisfies the formula u(A + B) + u(A ∩ B) = u(A) + u(B) for arbitrary submodules A, B of M. Dimension modules and related notions were studied by several authors. In this paper, we study them in a more general context of modular lattices with 0 to which the notion of dimension modules can be extended in an obvious way. Some constructions available in the lattice theory framework make it possible to identify several new aspects concerning the nature of dimension lattices and modules as well as to describe a number of related properties. In particular we find a lattice which can be used to test whether a given lattice or a module satisfies the studied properties. Most of the results are obtained for lattices and then they are applied to modules. However the examples are given, when possible, in the more restrictive case of modules.

Entropy ◽  
2018 ◽  
Vol 20 (10) ◽  
pp. 784 ◽  
Author(s):  
Peter Harremoës

We study entropy inequalities for variables that are related by functional dependencies. Although the powerset on four variables is the smallest Boolean lattice with non-Shannon inequalities, there exist lattices with many more variables where the Shannon inequalities are sufficient. We search for conditions that exclude the existence of non-Shannon inequalities. The existence of non-Shannon inequalities is related to the question of whether a lattice is isomorphic to a lattice of subgroups of a group. In order to formulate and prove the results, one has to bridge lattice theory, group theory, the theory of functional dependences and the theory of conditional independence. It is demonstrated that the Shannon inequalities are sufficient for planar modular lattices. The proof applies a gluing technique that uses that if the Shannon inequalities are sufficient for the pieces, then they are also sufficient for the whole lattice. It is conjectured that the Shannon inequalities are sufficient if and only if the lattice does not contain a special lattice as a sub-semilattice.


1969 ◽  
Vol 10 (1-2) ◽  
pp. 1-4 ◽  
Author(s):  
L. G. Kovács

If L is a distributive lattice in which every element is the join of finitely many join-irreducible elements, and if the set of join-irreducible elements of L satisfies the descending chain condition, then L satisfies the descending chain condition: this follows easily from the results of Chapter VIII, Section 2, in the Third (New) Edition of Garrett Birkhoff's ‘Lattice Theory’ (Amer. Math. Soc., Providence, 1967). Certain investigations (M. S. Brooks, R. A. Bryce, unpublished) on the lattice of all subvarieties of some variety of algebraic systems require a similar result without the assumption of distributivity. Such a lattice is always join-continuous: that is, it is complete and (∧X) ∨ y = ∧ {x ∨ y: x ∈ X} whenever X is a chain in the lattice (for, the dual of such a lattice is complete and ‘algebraic’, in Birkhoff's terminology). The purpose of this note is to present the result:


2020 ◽  
pp. 66-92 ◽  
Author(s):  
A. E. Abramov ◽  
A. D. Radygin ◽  
M. I. Chernova ◽  
R. M. Entov

This article analyzes the key patterns of the dividend policy and the problem of the “dividend puzzle” in the general context of the development of the stock market in Russia. The article consists of two parts.In the first part we summarize main research trends of dividend policy in modern economic theory (the classical Modigliani—Miller theory of dividend irrelevance, agent and signal hypotheses, the smoothing model, the catering theory, etc.). We emphasize the theoretical analysis of motivation of the largest Russian companies for profit allocation and dividend payout, based on a sample of 236 joint stock companies. Since 2012, a steady increase in dividend payments has been revealed in both private and state-owned enterprises (SOEs). The bulk of dividend payments from SOEs accounts for only 12 major companies. Along with an increase in the market value, dividends have become an important factor in the total return on shares. Under current conditions, the probability of paying dividends depends not only on the size of the company and indicators of its’ financial stability, but also on the presence of the state in the capital of companies. However, the relationship between the probability of paying dividends and state participation in the ownership structure is not universal and can be explained by specific factors that go beyond the classical dividend theories.In the second part we will analyze the patterns of stock market performance and dividend policy of the largest Russian companies, motivation for dividend payouts and special aspects of SOEs policy.


2016 ◽  
pp. 15
Author(s):  
Mariana Giaretto ◽  
Victoria Naffa

ResumenEn este trabajo analizamos las relaciones entre tomas de tierras y Estado, en elAlto Valle de Río Negro en Argentina. En un contexto general de especulacióninmobiliaria, por la que se encarecen los precios de alquileres y terrenos, y depolíticas de vivienda selectivas y acotadas, los sectores populares acceden aun espacio en la ciudad mediante tomas de tierras. Frente a estos conflictos,el Estado, en sus diferentes niveles y poderes, despliega una forma deintervención basada en la criminalización de las luchas por tierra y vivienda.Al mismo tiempo, el poder ejecutivo nacional crea la Secretaría de Acceso alHábitat, para posibilitar la intervención política orientada a la regularizaciónde los asentamientos. Sin embargo, esta intervención tiende a reinscribir laproblemática habitacional en el campo político, para reducirla a un conflicto“entre partes”, eludiendo la responsabilidad estatal.Desde un enfoque metodológico cualitativo, seleccionamos como referenteempírico el caso del asentamiento de Villa Obrera en Fiske, Menuco (Gral.Roca), y las técnicas de recolección de datos se basan en fuentes secundarias,como expedientes judiciales y normativa, y en fuentes primarias como son losrelatos de los protagonistas mediante entrevistas individuales y colectivas.Palabras clave: tomas de tierras, Estado, criminalización de los conflictos.Conflicts caused by land occupation and modesof State intervention: analysis of an experience ofAlto Valle in Río Negro (Argentina)AbstractThis paper analyzes the relationship between State and land occupation,at Alto Valle in Río Negro, Argentina. In a general context of real estatespeculation, where rents and land prices are expensive, and a policy ofselective and limited housing, popular sectors can have access to a spacein the city through land occupation. In front of these conflicts, the Statein its different levels and powers, displays a form of intervention basedon the criminalization of struggles for land and housing. At the sametime, the national executive creates the Secretariat of Access to Habitat,oriented to allow political intervention for the regularization of settlements.However, this intervention tends to re-register the housing problems in thepolitical arena, reducing it to a conflict “between parties” and eluding theresponsibility of the State.From a qualitative methodological approach, we selected as empirical referencethe case of the settlement of Villa Obrera in Fiske, Menuco (GeneralRoca). The techniques of data collection are based on secondary sources, suchas policy and legal records, and primary sources as the stories of protagoniststhrough individual and collective interviews.Keywords: land occupation, State, criminalization of conflicts.Conflitos sobre ocupações de terras e modos deintervenção do estado: análise de uma experiênciado Alto Valle do Rio Preto (Argentina)ResumoEste trabalho analisa as relações entre a posse de terra e o Estado, no AltoValle do Rio Preto, na Argentina. Num contexto geral da especulaçãoimobiliária, por qual se encarecem os preços do aluguel e das terras, e depolíticas de habitação seletivas e limitadas, os setores populares acedem aum espaço na cidade através de ocupações de terras. Frente a estes conflitos,o Estado, em seus diferentes níveis e poderes, desenvolve uma forma deintervenção com base na criminalização das lutas pela terra e vivenda. Aomesmo tempo, o poder executivo nacional cria a Secretaria de Acesso àHabitat para possibilitar à intervenção política orientada a regularização dosassentamentos. No entanto, esta intervenção tende a registrar os problemasde habitação no campo político, para reduzi-la a um conflito “entre aspartes”, iludindo a responsabilidade do Estado.A partir de uma abordagem metodológica qualitativa, foi selecionado comoreferência empírica o caso do Assentamento de Villa Obrera em Fiske,Menuco (Gral. Roca), e as técnicas de recolecção de dados são baseados emfontes secundárias, como expedientes judiciais e normativos, e em fontes primárias como são as histórias dos protagonistas através de entrevistasindividuais e coletivas.Palavras-chave: tomada de terras, Estado, criminalização dos conflitos.


2015 ◽  
Vol 1 (2) ◽  
pp. 101
Author(s):  
Della Arumnitas Sudrajat ◽  
R. Akhmad Munjin ◽  
Irma Purnamasari

This study aims to determine how service quality of Building Permit in District Kramat JatiResidential, East Jakarta. The population in this research is 48 people in the district who filed a Keramat Jati Residential petition. The method used in this research is descriptive analysis. The sampling technique used in this study is Incidental Sampling, which sampling technique by coincidence, that anyone who by chance met with the researchers can be used as a sample, which is deemed suitable by research. Then the amount used as many as 48 people. Theory framework used in this study is Ratminto and Winarsih 2006. Service is an activity or a description of the activities that take place in the direct interaction between a person with another person or machine physically and provide customer satisfaction. The result is that the services provided by the Kramat Jati’s subdistrict officer for the community applicant Building Permit Residential, located in the Good criteria with interpretation number is 3.52. The conclusion of this study is still a lack of discipline of officers in the service process that makes the event of delay that hinder the implementation of the applicant service Building Permit Residential, the researchers recommend the discipline of officers need to be improved so that every service process can run well and can improve quality of care provided to the public.Keywords : Quality Service, Building Permit, the Applicant Building Permit


2020 ◽  
Vol 11 (2) ◽  
pp. 113
Author(s):  
Novarina Novarina ◽  
Mamlahatun Buduroh

This paper is the result of a study of the Nusantara manuscripts using the historical text sources of Madura. The object of this research is the transliteration of a manuscript from the collection of the Central Library of Indonesia entitled Sajarah Proza Begin Brawijaya (SPBB) code SJ.230 Novarina edition (2020). In examining the manuscript, the philological method and literary theory framework were used. From the field of literature, Jan van Luxemburg's structural theory, Julia Kristeva's intertextuality, and Teeuw's concept of literary representation are used. From the structural study, it can be seen that the SPBB text framework is composed of literary structures and content structures (history), which as a whole serve to legitimize the power of the 17-18 century Madurese king. Meanwhile, the results of the intertextual analysis showed that the elements built into the content structure (history) of the SPBB text were connected with M.C. Ricklefs and H.J. De Graaf in representing Cakraningrat as the main figure in the history of Java, Madura, and VOC based on the author's life view to raise one of the values of the Javanese philosophy of life in this text. This linkage results in the conclusion that as a traditional Javanese historical literary work, the SPBB text is representative of its creator's culture, one of which is as a representation of the philosophy of mikul dhuwur mendhem jero in the Javanese view of life.


2016 ◽  
Vol 1 (3) ◽  
Author(s):  
Meng Ruoxi ◽  
Xu Leiqing

More and more Chinese experts focus on the research field of the restorative environment and public health. We reorganized the theories of restorative environment and proposed a theory framework which consists of Attention Restorative Theory(ART) and psycho-evolutionary theory and other three auxiliary hypothesis included Biophilia Theory, Prospect-Refuge Theory and Stress: The "fight or flight" response We classified the experiments methods into three types; the psychological, subjective evaluation, physiological objective indicators, and  behavior improvements .We could figure out some shared questions at the current research in mainland China, such as limited research methods, limited senses used in the current research.© 2016.The Authors. Published for AMER ABRA by e-International Publishing House, Ltd., UK. Peer–review under responsibility of AMER (Association of Malaysian Environment-Behaviour Researchers), ABRA (Association of Behavioural Researchers on Asians) and cE-Bs (Centre for Environment-Behaviour Studies, Faculty of Architecture, Planning & Surveying, UniversitiTeknologi MARA, Malaysia.Keywords : Restorative; Theory;Questionnaire;Experiments 


2020 ◽  
Author(s):  
Akihiko Ozaki ◽  
Yosuke Onoue ◽  
Anju Murayama ◽  
Taishi Tahara ◽  
Yuki Senoo ◽  
...  

BACKGROUND Rural physician undersupply is a universal concern, leading to sudden physician absenteeism or unavailability on occasion. While media and social networking services may help mitigate these emergencies, information is lacking about their actual contribution in times of physician absenteeism. On December 30, 2016, the director and sole physician of Takano Hospital in Fukushima, Japan, died. The physician’s passing placed many hospitalized patients in danger. This sudden case of physician unavailability, named the Takano Hospital Crisis, provoked massive attention from the general public, in the media and on social media networks such as Twitter. OBJECTIVE The aim of this study was to analyze newspaper articles, tweets and Twitter accounts relating to Takano Hospital Crisis. METHODS Newspaper articles and tweets were searched for keywords associated with Takano Hospital Crisis and its former director between October 2016 and June 2017. We first evaluated the chronological change in the number of articles and tweets, and the number of characters and relevant keywords in the articles. Then tweets and influencers who were popular on the Twitter platform from December 30, 2016 to February 28, 2017, were categorized. RESULTS We assessed 151 newspaper articles and 67,006 tweets. The results show that number of newspaper articles and tweets steeply increased and then diminished within the first month of the incident. The median number of characters in newspapers articles was 436 and the most frequent keyword was medical doctor. There were 753 original tweets that were retweeted more than four times from December 30, 2016 to February 28, 2017. Of these, 245 (32.5%) expressed concern. Notable influencers were journalists, news media outlets, and healthcare professionals that helped with fund raising and providing clinical service in the hospital. CONCLUSIONS Twitter could temporarily function in cases of sudden physician absenteeism to attract volunteers and funding, however, this would not be a long-term solution. In a more general context, a long-term effort of supports from the hospitals themselves and the government will be required to manage the persistent state of physician absenteeism.


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