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Polysulfone Membranes: Here, There and Everywhere. [PDF]
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Formal matrix rings: Automorphisms
International Journal of Algebra and Computation, 2023Automorphism groups of formal matrix algebras with zero trace ideals are studied. Such an algebra is represented as a splitting extension of some ring by some nilpotent ideal. Using this extension, the study of the structure of the automorphism group of an algebra in a certain sense is reduced to the study of the structure of some its subgroups and ...
Krylov, Piotr, Tuganbaev, Askar
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Archiv der Mathematik, 1986
Until this article, there has not been an acceptable approach to the concept of a near-ring of matrices over an arbitrary near-ring. The authors overcome the inherent problems associated with arrays and are motivated by the fact that for a ring, each matrix represents an endomorphism of \((R^ n,+)\) and as such it is derived from the endomorphisms of ...
Meldrum, J. D. P. +1 more
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Until this article, there has not been an acceptable approach to the concept of a near-ring of matrices over an arbitrary near-ring. The authors overcome the inherent problems associated with arrays and are motivated by the fact that for a ring, each matrix represents an endomorphism of \((R^ n,+)\) and as such it is derived from the endomorphisms of ...
Meldrum, J. D. P. +1 more
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PSEUDOPOLAR MATRIX RINGS OVER LOCAL RINGS
Journal of Algebra and Its Applications, 2013A ring R is called pseudopolar if for every a ∈ R there exists p2 = p ∈ R such that p ∈ comm 2(a), a + p ∈ U(R) and akp ∈ J(R) for some positive integer k. Pseudopolar rings are closely related to strongly π-regular rings, uniquely strongly clean rings, semiregular rings and strongly π-rad clean rings.
Cui, Jian, Chen, Jianlong
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Matrix Rings over Reflexive Rings
Algebra Colloquium, 2018The concept of reflexive property is introduced by Mason. This note concerns a ring-theoretic property of matrix rings over reflexive rings. We introduce the concept of weakly reflexive rings as a generalization of reflexive rings. From any ring, we can construct weakly reflexive rings but not reflexive, using its lower nilradical.
Jeoung Soo Cheon +2 more
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Modules over Formal Matrix Rings
Journal of Mathematical Sciences, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krylov, P. A., Tuganbaev, A. A.
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Ring Theoretic Properties of Matrix Rings
Canadian Mathematical Bulletin, 1967K. Morita has shown that, given two rings R and S, there is an isomorphism between the category of left R-modules and the category of left S-modules if and only if there exists an R-S bimodule U such that(1) U is a progenerator in the category of left R-modules, and(2) S ≅ (EndR U)opp as rings.
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Matrix Near-rings over Centralizer Near-rings
Algebra Colloquium, 2000In the most widely accepted definition of matrix near-rings [\textit{J. D. P. Meldrum} and \textit{A. P. J. van der Walt}, Arch. Math. 47, 312-319 (1986; Zbl 0611.16025)], there are two obvious ways of linking ideals in the base near-ring to ideals in the matrix near-ring.
Smith, Kirby C., van Wyk, Leon
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