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الحلقات التی فیها کل مقاس بسیط ایمن مسطح
Al-Rafidain Journal of Computer Sciences and Mathematics, 2004 Abstract. A ring R is called a left (right) SF-ring if simple left (right) R-modules areflat. It is still unknown whether a left (right) SF-ring is von Neumann regular. In thispaper, we give some conditions for a left (right) SF-ring to be (a) von Neumann regular;(b) strongly regular; (c) division ring.
Raida D. Mahmood
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Imbedding a Regular Ring in a Regular Ring with Identity [PDF]
Nagoya Mathematical Journal, 1966 In [1] L. Fuchs and I. Halperin have proved that a regular ring R is isomorphic to a two-sided ideal of a regular ring with identity. ([1] Theorem 1). Their methed is to imbed the regular ring R in the ring of all pairs (a, p) with a ∊ R and p from a suitable commutative regular ring S with identity such that R is an algebra over S.
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Varieties of ∗-regular rings [PDF]
Mathematica Slovaca, 2020 Abstract Given a subdirectly irreducible ∗-regular ring R, we show that R is a homomorphic image of a regular ∗-subring of an ultraproduct of the (simple) eRe, e in the minimal ideal of R; moreover, R (with unit) is directly finite if all eRe are unit-regular.
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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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, 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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, 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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Regular rings and integral extension of a regular ring [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we show that a ring (not necessarily commutative) with identity element and without nonzero nilpotent elements is a von Neumann regular ring if every completely prime ideal is a maximal right ideal. Using this result, we show an integral extension (not necessarily commutative) without nonzero nilpotent elements of a regular ring is itself
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Unramified representations of reductive groups over finite rings [PDF]
, 2009 Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields.
Stasinski, Alexander
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Morphic elements in regular near-rings [PDF]
, 2022 We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is properly contained between the classes of left strongly regular and unit regular near-rings.Comment: 15 ...
Kimuli, Ivan Philly +2 more
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Proceedings of the American Mathematical Society, 1963 This paper generalizes slightly a result of Kunz [1 ] and Nakai [2]. If R> S are commutative rings with identity we introduce a module D*(R/S) defined as the quotient of the module D(R/S) of S differentials of R by the submodule consisting of elements which are mapped to zero by every homomorphism of D(R/S) having values in a finitely generated R ...
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