Results 11 to 20 of about 1,601,158 (237)
PRESIMPLIFIABLE AND WEAKLY PRESIMPLIFIABLE RINGS [PDF]
Barekeng, 2023 Let be a commutative ring with identity. Two elements and b in are called to be associates if and , or equivalently, if . The generalization of associate relation in R has given the idea for definitions of presimplifiable and weakly presimplifiable
Deby Anastasya, Sri Wahyuni
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Rings Over Which Certain Modules Are YJ-Injective [PDF]
Kirkuk Journal of Science, 2009 In this paper we continue to study the concept of YJ-injectivity which was first introduced by Ming in 1985. Furthermore, we give some characterizations and properties for it.
Abdullah M. Abdul-Jabbar
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Some Results on W-regular Rings [PDF]
NTU Journal of Pure SciencesVon Neumann regular rings, introduced in 1936, form a cornerstone of abstract algebra and were later extended to weakly regular rings. This work considers another extension, the W-regular rings defined by Wei [6], and explores their properties and ...
Hazim Tallat Hazim
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Beyond Regular Semigroups [PDF]
, 2012 The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
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الحلقات من النمط-MGP والحلقات من النمط EGP [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 The purpose of this paper is to study the rings in which every maximal (essential) right ideal is a left GP- ideal. Such rings will be called right MGP- rings (EGP- rings).
Raida D. Mahmood, Shahla M. Khalil
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On P-Injective Modules And Ɣ-Regular Rings [PDF]
مجلة التربية والعلم, 2012 The main purpose of this paper is to study Ɣ-regular rings, and the connection between such rings and weakly regular, π-regular, strongly π-regular, semi π-regular and SNI-rings. We also study P-injective modules, and to find it's relation with Ɣ-regular
Baida S. Abdullah
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On Properties of Graded Rings with respect to Group Homomorphisms
International Journal of Mathematics and Mathematical Sciences, 2023 Let G be a group and R be a G-graded ring with non-zero unity. The goal of our article is reconsidering some well-known concepts on graded rings using a group homomorphism α:G⟶G. Next is to examine the new concepts compared to the known concepts.
Azzh Saad Alshehry +2 more
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, 2002 Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and ...
Vasantha, Kandasamy
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, 2006 In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy +2 more
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Note on weakly nil clean and π-regular rings
Filomat, 2023 Let R be a commutative ring with identity 1 ? 0. The ring R is called weakly nil clean if every element x of R can be written as x = n + e or x = n ? e, where n is a nilpotent element of R and e is an idempotent element of R. The ring R is called weakly nil neat if every proper homomorphic image of R is weakly nil clean. Among other results,
Khaled Alhazmy +3 more
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