scholarly journals Dual of Extending Acts

2020 ◽  
pp. 64-71
Author(s):  
Shaymaa Amer Abdul Kareem
Keyword(s):  
Ring Theory ◽  
Research Interest ◽  
Major Area ◽  
Module Theory ◽  
Extending Module ◽  
Rees Factor

Since 1980s, the study of the extending module in the module theory has been a major area of research interest in the ring theory and it has been studied recently by several authors, among them N.V. Dung, D.V. Huyn, P.F. Smith and R. Wisbauer. Because the act theory signifies a generalization of the module theory, the author studied in 2017 the class of extending acts which are referred to as a generalization of quasi-injective acts. The importance of the extending acts motivated us to study a dual of this concept, named the coextending act. An S-act MS is referred to as coextending act if every coclosed subact of Ms is a retract of MS where a subact AS of MS is said to be coclosed in MS if whenever the Rees factor ⁄ is small in the Rees factor ⁄then AS=BS for each subact BS of AS. Various properties of this class of acts have been examined. Characterization of this concept is intended to show the behavior of a coextending property. In addition, based on the results obtained by us, the conditions under which subacts inherit a coextending property were demonstrated. Ultimately, a part of this paper

Characterization of monoids by condition (GP)

2016 ◽  
Vol 10 (02) ◽  
pp. 1750021
Author(s):  
Mahdiyeh Abbasi ◽  
Akbar Golchin ◽  
Hossein Mohammadzadeh Saany
Keyword(s):  
Rees Factor ◽  
Strong Flatness

In this paper, we introduce a generalization of Condition [Formula: see text], called Condition [Formula: see text], and will characterize monoids by this condition of their right (Rees factor) acts. Furthermore, we will show that Conditions [Formula: see text] and [Formula: see text] are interpolation type conditions for strong flatness.

A FEW HOMOLOGICAL CHARACTERIZATIONS OF COMPACT SEMISIMPLE RINGS

2005 ◽  
Vol 04 (05) ◽  
pp. 539-549
Author(s):  
ALINA ALB ◽  
MIHAIL URSUL
Keyword(s):  
Abelian Group ◽  
Tensor Product ◽  
Compact Abelian Group ◽  
Product Formula ◽  
Flat Module ◽  
Compact Ring ◽  
Module Theory ◽  
Flat Modules ◽  
Semisimple Module

Fix any compact ring R with identity. We associate to R the following categories of topological R-modules: (i) R𝔇 (𝔇R) the category of all discrete topological left (right) R-modules; (ii) Rℭ (ℭR) the category of all compact left (right) R-modules. We have introduced the following notions (analogous with classical notions of module theory): (i) the tensor product [Formula: see text] of A ∈ ℭR and B ∈Rℭ ([Formula: see text] has a structure of a compact Abelian group); (ii) a topologically semisimple module; (iii) a compact topologically flat module. We give a characterization of compact semisimple rings by using of flat modules.

scholarly journals Status and features of the Korean labor market (2008-2018)

2020 ◽  
Vol 2 ◽  
pp. e020002
Author(s):  
Kyungran Kim
Keyword(s):  
Labor Market ◽  
Global Financial Crisis ◽  
Wage Gap ◽  
Structural Characteristics ◽  
Youth Unemployment ◽  
Major Area ◽  
The Status ◽  
Size Of Firms ◽  
The Global Financial Crisis

This article examines the status and structural characteristics of the Korean labor market since the global financial crisis in 2008. Even though the Korean labor market was resilient in the wake of that crisis, there are issues that require attention, which is including high earnings inequality, an aging labor force, increasing non-regular jobs, and rising youth unemployment rates. The Korean workforce has clearly divided not only by type of employment, but also by size of firms (large corporations and SMEs). Therefore, the main problem of employment is basically originated from the deepening dual structure in the labor market. This paper presents a brief characterization of the Korean’s labor market, analyzing in detail the main employment indicators. It also analyzes wage gap, and working conditions by employment type and firm size, focusing on the dual labor market. Additionally, examines the current situation of platform work, which has emerged as a major area of the labor market, and the trend of minimum wage, which has fluctuated in the last two years

scholarly journals Mechanism of interaction of an endofungal bacterium Serratia marcescens D1 with its host and non-host fungi

2019 ◽  
Author(s):  
Dibya Jyoti Hazarika ◽  
Trishnamoni Gautom ◽  
Assma Parveen ◽  
Gunajit Goswami ◽  
Madhumita Barooah ◽  
...  
Keyword(s):  
Serratia Marcescens ◽  
Type Vi Secretion System ◽  
Major Area ◽  
Fungal Cell ◽  
Type Vi Secretion ◽  
Mucor Irregularis ◽  
Fungal Hyphae ◽  
Genes Encoding ◽  
Mechanism Of Interaction

AbstractAssociation of bacteria with fungi is a major area of research in infection biology, however, very few strains of bacteria have been reported that can invade and reside within fungal hyphae. Here, we report the characterization of an endofungal bacterium Serratia marcescens D1 from Mucor irregularis SS7 hyphae. Upon re-inoculation, colonization of the endobacterium S. marcescens D1 in the hyphae of Mucor irregularis SS7 was demonstrated using stereo microscopy. However, S. marcescens D1 failed to invade into the hyphae of the tested Ascomycetes (except Fusarium oxysporum) and Basidiomycetes. Remarkably, Serratia marcescens D1 could invade and spread over the culture of F. oxysporum that resulted in mycelial death. Prodigiosin, the red pigment produced by the Serratia marcescens D1, helps the bacterium to invade fungal hyphae as revealed by the increasing permeability in fungal cell membrane. On the other hand, genes encoding the type VI secretion system (T6SS) assembly protein TssJ and an outer membrane associated murein lipoprotein also showed significant up-regulation during the interaction process, suggesting the involvement of T6SS in the invasion process.

scholarly journals A note on almost prime submodule of CSM module over principal ideal domain

2021 ◽  
Vol 2106 (1) ◽  
pp. 012011
Author(s):  
I G A W Wardhana ◽  
N D H Nghiem ◽  
N W Switrayni ◽  
Q Aini
Keyword(s):  
Prime Ideal ◽  
Algebraic Structure ◽  
Principal Ideal ◽  
Ring Theory ◽  
Principal Ideal Domain ◽  
Module Theory ◽  
Ideal Domain ◽  
Multiplication Operation ◽  
Prime Submodule ◽  
Almost Prime

Abstract An almost prime submodule is a generalization of prime submodule introduced in 2011 by Khashan. This algebraic structure was brought from an algebraic structure in ring theory, prime ideal, and almost prime ideal. This paper aims to construct similar properties of prime ideal and almost prime ideal from ring theory to module theory. The problem that we want to eliminate is the multiplication operation, which is missing in module theory. We use the definition of module annihilator to bridge the gap. This article gives some properties of the prime submodule and almost prime submodule of CMS module over a principal ideal domain. A CSM module is a module that every cyclic submodule. One of the results is that the idempotent submodule is an almost prime submodule.

scholarly journals Some Generalizations of Green’s Relations in Rings and Modules

2018 ◽  
Vol 14 (2) ◽  
pp. 7937-7945
Author(s):  
Florion Cela
Keyword(s):  
Semigroup Theory ◽  
Ring Theory ◽  
Green’S Relations ◽  
Module Theory ◽  
Principal Ideals ◽  
Green's Relations ◽  
One To One

In semigroups theory Green’s relations, introduced by J. Green, are a very important and useful tool for developing the semigroup theory. They characterise the element of a semigroup or a ring in terms of the principal ideals they generate. In contrast to early semigroup theory , where, as we have seen, ideas from ring’s were applied to semigroups, Green’s relation’s have also been applied to ring’s (Hollings, 2014). In ring theory Green’s relation’s are introduced by (Petro,2002) In this paper at first we generalize Green’s relations in rings. After this we notice that there exist an one to one correspondence between the ideals of a ring and this type of new relations we introduced.Then we compare them with Green’s relations in rings. At last we define some new relations in module theory, which mimic Green’s relations in rings, as an attempt to get tools in studying modules. 

scholarly journals (E)-1-(2′,4′-Dimethyl)-(5-acetylthiazole)-(2,4″-difluorophenyl)-prop-2-en-1-one

Molbank ◽  
10.3390/m1019 ◽  
2018 ◽  
Vol 2018 (3) ◽  
pp. M1019
Author(s):  
Afzal Shaik ◽  
Mahamuda Shaik ◽  
Srinivasa Puttagunta
Keyword(s):  
Mass Spectrometry ◽  
1H Nmr ◽  
13C Nmr ◽  
Research Interest ◽  
Purification And Characterization ◽  
Spectral Techniques ◽  
X Ray ◽  
Acid Catalyzed

Thiazole and chalcone motifs are of research interest to medicinal chemists due to their array of synthetic and biological utility. Hence, in the present study we intended to prepare (E)-1-(2′,4′-dimethyl)-(5-acetylthiazole)-(2,4″-difluorophenyl)-prop-2-en-1-one (3c) containing both these scaffolds. The compound 3c was synthesized by the acid-catalyzed condensation of 2,4-dimethyl-5-acetylthiazole with 2,4-difluorobenzaldehyde. Purification and characterization of the compound were carried out by recrystallization and spectral techniques including UV, IR, 1H-NMR, 13C-NMR, Mass spectrometry and X-ray powdered diffractometry. The molecule 3c was successfully synthesized, purified, and characterized.

scholarly journals weakly supplement extending modules

2020 ◽  
Vol 31 (2) ◽  
pp. 38
Author(s):  
Saad A. Al-Saadi ◽  
Aya Adnan Musa
Keyword(s):  
Direct Sum ◽  
Closed Submodule ◽  
Extending Module ◽  
Supplement Submodule

In this paper, the extending property of modules is generalized by using weakly supplement submodules. We call a module M is weakly supplement extending if each submodule of M is essential in a weakly supplement submodule of M. Many characterization of weakly supplement extending module are obtained, we show that M is weakly supplement extending if and only if each closed submodule is weakly supplementing submodule of M. Moreover, we study the relation of weakly supplement extending module and among other known classes of the module such as lifting module, weakly supplemented module, supplement extending module and others. Also, we study conditions under it a direct sum of weakly supplement extending module is weakly supplement extending. 

Elaboration and Characterization of Zinc-Based Foams

2013 ◽  
Vol 334-335 ◽  
pp. 127-130
Author(s):  
Hamza Azzaz ◽  
Kaoua Sid-Ali ◽  
Dahmoun Djaffar ◽  
Azzaz Mohammed
Keyword(s):  
Mechanical Properties ◽  
Scientific Literature ◽  
Metal Foams ◽  
Research Interest ◽  
Industrial Scale ◽  
Production Processes ◽  
Microstructural Heterogeneity ◽  
Low Weight

For over a decade, metal foams have attracted a growing research interest because of the development of certain production processes. The advantages of metal foams most cited in the scientific literature are their low weight. However, one of the obstacles to their use on an industrial scale is the dispersion of their mechanical properties, in part because of their microstructural heterogeneity.

scholarly journals Almost-Dedekind rings

1994 ◽  
Vol 36 (1) ◽  
pp. 131-134 ◽  
Author(s):  
E. W. Johnson
Keyword(s):  
Commutative Ring ◽  
Integral Domain ◽  
Classical Result ◽  
Dedekind Domain ◽  
Ring Theory ◽  
Prime Ideals ◽  
Principal Ideals ◽  
Commutative Ring Theory ◽  
Lattice Of Ideals

Throughout we assume all rings are commutative with identity. We denote the lattice of ideals of a ringRbyL(R), and we denote byL(R)* the subposetL(R)−R.A classical result of commutative ring theory is the characterization of a Dedekind domain as an integral domainRin which every element ofL(R)* is a product of prime ideals (see Mori [5] for a history). This result has been generalized in a number of ways. In particular, rings which are not necessarily domains but which otherwise satisfy the hypotheses (i.e. general ZPI-rings) have been widely studied (see, for example, Gilmer [3]), as have rings in which only the principal ideals are assumed to satisfy the hypothesis (i.e. π-rings).

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