Results 11 to 20 of about 306,524 (177)
Neutrosophic Ideals in Artinian Rings and Their Application to AI-Driven Uncertainty Classification
Journal of MathematicsThis work examines the behaviour of neutrosophic ideals within the framework of Artinian rings. A key finding shows that a ring with unity is left (or right) Artinian if and only if every neutrosophic left (or right) ideal takes only finitely many ...
Amr Elrawy +3 more
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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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The structure of semisimple Artinian rings [PDF]
, 2006 Proves two famous theorems attributed to J.H.M. Wedderburn, which concern the structure of noncommutative rings. The two theorems include, (1) how any semisimple Artinian ring is the direct sum of a finite number of simple rings; and, (2) the Wedderburn ...
Pandian, Ravi Samuel
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Unramified representations of reductive groups over finite rings [PDF]
, 2009 Lusztig has given a construction of certain representations of reductive groups over finite local principal ideal rings of characteristic p, extending the construction of Deligne and Lusztig of representations of reductive groups over finite fields.
Stasinski, Alexander
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On SSAGP-injective Rings [PDF]
مجلة التربية والعلم, 2019 In this paper, we investigate some properties of rings whose simple singular right R- modules are A Gp-injective (or SSAGP- injective for short). It is proved that: Y(R)=0 where R is a right SSAGP- injective rings.
Raida Mahmood, Manal Abd
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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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Some External Characterizations of SV-Rings and Hereditary Rings
International Journal of Mathematics and Mathematical Sciences, 2007 We introduce a new class of rings which we call AI-rings. By applying this property to endomorphism rings, we give characterizations of semi-Artinian V-rings and hereditary rings.
A. Haily, H. Rahnaoui
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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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Pathological modules over tame rings [PDF]
, 1976 Brenner S, Ringel CM. Pathological modules over tame rings. Journal of the London Mathematical Society.
Ringel, Claus Michael, Brenner, Sheila
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