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ARTINIAN \(\mathbf{M}\)-COMPLETE, \(\mathbf{M}\)-REDUCED, AND MINIMALLY \(\mathbf{M}\)-COMPLETE ASSOCIATIVE RINGS

Ural Mathematical Journal
In 1996, the first author defined analogs of the concepts of complete (divisible), reduced, and periodic abelian groups, well-known in the theory of abelian groups, for arbitrary varieties of algebras. In 2021, the first author proposed a modification of
Leonid M. Martynov, Tatiana V. Pavlova
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حول حلقات من النمط CS [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2008
The main purpose of this paper is to study CS-rings. We give some properties of right CS-rings and the connection between such rings and reduced rings, regular rings, strongly regular rings, and S-weakly regular ...
Anas S. Youns AL-Mashhdanny, Mohammed Th. Youns AL-Neimi   +1 more
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Primitive near-rings [PDF]

, 1970
The theory of near-rings has arisen in a variety of ways. There is a natural desire to generalise the theory of rings and skew fields by relaxing some of their defining axioms.
Holcombe, William Michael Lloyd
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NEUTROSOPHIC RINGS [PDF]

, 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, Kandasamy, W.B. Vasantha, Smarandache, Florentin   +2 more
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Pathological modules over tame rings [PDF]

, 1976
Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
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Smarandache rings [PDF]

, 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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Smarandache near-rings [PDF]

, 2002
The main concern of this book is the study of Smarandache analogue properties of near-rings and Smarandache near-rings; so it does not promise to cover all concepts or the proofs of all ...
Vasantha, Kandasamy
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Neutrosophic Rings II [PDF]

, 2012
This paper is the continuation of the work started in [12]. The present paper is devoted to the study of ideals of neutrosophic rings.
Adeleke E.O, Agboola A.A.A., Akinleye S.A.   +2 more
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Neutrosophic Rings I [PDF]

, 2011
In this paper, we present some elementary properties of neutrosophic rings. The structure of neutrosophic polynomial rings is also presented. We provide answers to the questions raised by Vasantha Kandasamy and Florentin Smarandache in [1] concerning ...
Oyebola O.Y., Akinola A.D., Agboola A.A.A.   +2 more
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Smarandache Non-Associative (SNA-) rings [PDF]

, 2005
In this paper we introduce the concept of Smarandache non-associative rings, which we shortly denote as SNA-rings as derived from the general definition of a Smarandache Structure (i.e., a set A embedded with a week structure W such that a proper subset ...
Vasantha Kandasamy, W.B.
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