Results 11 to 20 of about 804 (216)
A Characterization of Left Regularity
Universal Journal of Mathematics and Applications, 2019 We show that a zero-symmetric near-ring $N$ is left regular if and only if $N $ is regular and isomorphic to a subdirect product of integral near-rings, where each component is either an Anshel-Clay near-ring or a trivial integral near-ring. We also show
Peter Fuchs
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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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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 As a generalization of right pure ideals, we introduce the notion of right П – pure ideals. A right ideal I of R is said to be П – pure, if for every a Î I there exists b Î I and a positive integer n such that an ≠ 0 and an b = an.
Shaimaa Ahmad
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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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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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Semiprime SF-rings whose essential left ideals are two-sided
International Journal of Mathematics and Mathematical Sciences, 1994 It is proved that if R is a semiprime ELT-ring and every simple right R-module is flat then R is regular. Is R regular if R is a semiprime ELT-ring and every simple right R-module is flat? In this note, we give a positive answer to the question.
Zhang Jule, Du Xhianneng
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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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مجلة ابحاث كلية التربية الاساسيةIn our study we examine definition of strongly γ -regular rings and associates, investigate interplay between strongly γ - regular rings and other reduced rings. We also study GP – injective modules, and discuss its relation with strongly
Luma Ahmed Khaleel, Beyda S. Abdullah
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2014 A ring R is called local ring if it has exactly one maximal ideal. In this paper, we introduce some characterization and basic properties of this ring. Also, we studied the relation between local rings and Von Neumann regular rings and strongly regular ...
Zubayda Ibraheem, Anees Fthee
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