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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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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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The universal abelian regular ring [PDF]
, 2019 Olivier’s construction of a universal commutative regular ring is generalized to obtain for a noncommutative ring R the universal abelian regular R-ring R → Rˆ.
Ivo Herzog +3 more
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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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The ring of polynomial over a von Neumann regular ring [PDF]
, 1973 It is shown that the ring of polynomials in one indeterminate over a commutative von Neumann regular ring with identity element is semihereditary.
P. J. McCarthy
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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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The discovery and dynamical evolution of an object at the outer edge of Saturn's A ring [PDF]
, 2014 This work was supported by the Science and Technology Facilities Council (Grant No. ST/F007566/1) and we are grateful to them for financial assistance. C.D.M.
Jeffrey S. Boyer +9 more
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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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The regular ring and the maximal ring of quotients of a finite Baer *-ring [PDF]
, 1975 Necessary and sufficient conditions are obtained for extending the involution of a Baer ∗ \ast -ring to its maximal ring of quotients.
Ernest S. Pyle
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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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