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Pure Maximal Submodules and Related Concepts
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 In this work we discuss the concept of pure-maximal denoted by (Pr-maximal) submodules as a generalization to the type of R- maximal submodule, where a proper submodule of an R-module is called Pr- maximal if ,for any submodule of W is a pure ...
khawla ahmed, Nuhad S. Al. Mothafar
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Coefficient subrings of certain local rings with prime-power characteristic
International Journal of Mathematics and Mathematical Sciences, 1995 If R is a local ring whose radical J(R) is nilpotent and R/J(R) is a commutative field which is algebraic over GF(p), then R has at least one subring S such that S=∪i=1∞Si, where each Si, is isomorphic to a Galois ring and S/J(S) is naturally isomorphic ...
Takao Sumiyama
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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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Vector Bundles on the Moduli Stack of Elliptic Curves [PDF]
, 2015 We study vector bundles on the moduli stack of elliptic curves over a local ring R. If R is a field or a discrete valuation ring of (residue) characteristic not 2 or 3, all these vector bundles are sums of line bundles.
Bauer +28 more
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On the Unit Graph of a Noncommutative Ring [PDF]
, 2012 Let $R$ be a ring (not necessary commutative) with non-zero identity. The unit graph of $R$, denoted by $G(R)$, is a graph with elements of $R$ as its vertices and two distinct vertices $a$ and $b$ are adjacent if and only if $a+b$ is a unit element of ...
Akbari, S., Estaji, E., Khorsandi, M. R.
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Proceedings of the American Mathematical Society, 1982 In this paper we introduce the notion of a strict local ring. A local Cohen-Macaulay ring ( B , m ) (B,m) is called strict if, whenever a local ring ( A , n ) (A,n) specializes by a regular sequence to B B , then the associated ...
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper is dealed with a special local ring A and modules over A. Some properties of modules, that are constructed over the real plural algebra, are investigated. Moreover a module is constructed over the linear algebra of matrix Mmm(ℝ) and one of its
Erdoğan Fatma Özen +2 more
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A Remark on Structure of Projective Klingenberg Spaces over a Certain Local Algebra
Mathematics, 2019 This article is devoted to the projective Klingenberg spaces over a local ring, which is a linear algebra generated by one nilpotent element. In this case, subspaces of such Klingenberg spaces are described.
Marek Jukl
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Al-Rafidain Journal of Computer Sciences and Mathematics, 2019 An ideal K of a ring R is called right (left) generalized pure (GP -ideal) if for every a ∈ K, there exists m ∈ Z+, and b ∈ K such that am = am b ( am = b am) . A ring R is called MLGP-ring if every right maximal ideal is left GP-ideal.
Raida mahmood, Ebtehal Mageed
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FluidsThe low-pressure edge of a pump-turbine runner blade is more prone to cavitation than other parts. The installation angle of the blade’s low-pressure edge is one of the key parameters affecting the cavitation performance of the pump-turbine. Based on the
Hui Ruan +5 more
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