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Russian Mathematical Surveys, 2001
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Quotient rings of graded associative rings. I
Journal of Mathematical Sciences, 2012The paper under review is a survey concerning graded quotient rings of associative rings graded by groups. Some new results are also included. The paper is structured in ten sections as follows: 1. Basic definitions and properties, 2. Graded analogs of classical notions, 3. Graded rational extensions and rings of quotients, 4.
Balaba, I. N. +2 more
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On the Jacobson radical of a groupoid graded ring
, 2021E. Ilić-Georgijević
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Orthogonal Graded Completion of Graded Semiprime Rings
Journal of Mathematical Sciences, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Communications in Algebra, 1983
Let R be a group graded ring . The map ( , ): R × R →1 defined by: (x,y) = (xy)1 , is an inner product on R. In this paper we investigate aspects of nondegeneracy of the product, which is a generalization of the notion of strongly G —graded rings,introduced by Dade.
Miriam Cohen, Louis H. Rowen
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Let R be a group graded ring . The map ( , ): R × R →1 defined by: (x,y) = (xy)1 , is an inner product on R. In this paper we investigate aspects of nondegeneracy of the product, which is a generalization of the notion of strongly G —graded rings,introduced by Dade.
Miriam Cohen, Louis H. Rowen
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2020
In this first chapter of applications we study some algebraic and categorical topics of the noncommutative algebraic geometry of skew PBW extensions. For this task we will follow the approach presented by M. Artin and J.J. Zhang in [28], by A.B. Verevkin in [398], [399] and by D. Rogalski in [344].
William Fajardo +5 more
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In this first chapter of applications we study some algebraic and categorical topics of the noncommutative algebraic geometry of skew PBW extensions. For this task we will follow the approach presented by M. Artin and J.J. Zhang in [28], by A.B. Verevkin in [398], [399] and by D. Rogalski in [344].
William Fajardo +5 more
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Rendiconti del Circolo Matematico di Palermo Series 2
Let \(R=\bigoplus_{\alpha\in\Gamma}R_{\alpha}\) be a commutative ring graded by any arbitrary torsionless grading monoid \(\Gamma\). In the paper under review, the authors introduced the graded version of the notion of Prüfer rings, which is a generalization of graded Prüfer domains to the context of arbitrary \(\Gamma\)-graded rings with zero-divisors
Nassima Guennach +2 more
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Let \(R=\bigoplus_{\alpha\in\Gamma}R_{\alpha}\) be a commutative ring graded by any arbitrary torsionless grading monoid \(\Gamma\). In the paper under review, the authors introduced the graded version of the notion of Prüfer rings, which is a generalization of graded Prüfer domains to the context of arbitrary \(\Gamma\)-graded rings with zero-divisors
Nassima Guennach +2 more
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Communications in Algebra, 1993
We give necessary and sufficient conditions for a ring graded by a hypercentral group to be simple.
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We give necessary and sufficient conditions for a ring graded by a hypercentral group to be simple.
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Optical Fiber Communications Conference and Exhibition, 2016
Feng Feng +12 more
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Feng Feng +12 more
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