Results 11 to 20 of about 708,128 (192)
Rings of Polynomials With Artinian Coefficients [PDF]
Proceedings of the Edinburgh Mathematical Society, 2017 AbstractWe study the extent to which the weak Euclidean and stably free cancellation properties hold for rings of Laurent polynomials with coefficients in an Artinian ring A.
Johnson, FEA
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Equationally Compact Artinian Rings [PDF]
Canadian Journal of Mathematics, 1973 By a Noetherian (Artinian) ring=(R;+ , —, 0, ·) we mean an associative ring satisfying the ascending (descending) chain condition on left ideals. An arbitrary ringis said to beequationally compactif every system of ring polynomial equations with constants inis simultaneously solvable inprovided every finite subset is.
David K. Haley
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On the structure of artinian-by-(finite rank) modules over generalized soluble groups
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2014 Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank), if $\mathrm{Tor}_R(A)$ is artinian and $A/\mathrm{Tor}_R(A)$ has finite R-rank.
V.A. Chupordia
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IRRELEVANT ATTACHED PRIME IDEALS OF A CERTAIN ARTINIAN MODULE OVER A COMMUTATIVE RING [PDF]
Journal of Sciences, Islamic Republic of Iran, 1996 Let M be an Artinian module over the commutative ring A (with nonzero identity) and a p spec A be such that a is a finitely generated ideal of A and aM = M. Also suppose that H = H where H.
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Artinian Subrings of a Commutative Ring [PDF]
Transactions of the American Mathematical Society, 1993 Given a commutative ring R R , we investigate the structure of the set of Artinian subrings of
Gilmer, Robert, Heinzer, William
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Global Dimension of Artinian Rings [PDF]
Proceedings of the American Mathematical Society, 1967 Introduction. It was shown by Auslander in [l] that in an Artinian ring P with radical A^O there exists an indecomposable left ideal I of square zero that satisfies the equality l.p.dim 1 = 1.p.dim N. Considering only the cyclic left ideals in an Artinian ring R we obtain a bound for the global dimension of P from Sup l.p.dim J (where J ranges over all
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Artinian Quotient Rings of Filtered Rings
Journal of Algebra, 1993 Let \(R\) be a noetherian ring with a regular normal element \(x\) satisfying \(\cap x^ i R = 0\). If \(R/xR\) has an artinian ring of quotients then so does \(R\). As application it is proved that \(R\) has an artinian ring of quotients if \(R\) is a right Zariski ring and the associated graded ring \(G(R)\) has an artinian ring of quotients.
Jøndrup, Søren +2 more
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The Structure of Local Rings with Singleton Basis and Their Enumeration
Mathematics, 2022 A local ring is an associative ring with unique maximal ideal. We associate with each Artinian local ring with singleton basis four invariants (positive integers) p,n,s,t.
Yousef Alkhamees, Sami Alabiad
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Central Endomorphisms of Groups and Radical Rings [PDF]
Advances in Group Theory and Applications, 2023 An endomorphism γ of a group G is called a central endomorphism if x^-1 xγ lies into the centre Z(G) of G for each element x of G. It is easy to show that all non-zero central endomorphisms of G are automorphisms if and only if the ring R = Hom(G, Z(G ...
Alessio Russo, Mario Viscusi
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Trivial Extension of π-Regular Rings [PDF]
Engineering and Technology Journal, 2016 In this paper we investigate if it is possible that the trivial extension ring T(R,R) inherit the properties of the ring R and present the relationship between the trivial extension T(R,M) of a ring R by an R-module M and theπ-regularity of Rby taking ...
Areej M. Abduldaim
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