Results 261 to 270 of about 450,444 (294)

Graded radicals of graded rings

Acta Mathematica Hungarica, 1991
Let \(\lambda\) be a radical property in the category of associative rings and \(G\) a group. By means of the smash product a corresponding radical property \(\lambda_{\text{ref}}\) is defined in the category of associative \(G\)-graded rings. The authors describe these radicals and the relationship with the corresponding classical graded radicals for ...
Beattie, M., Stewart, P.
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Graded varieties of graded rings

Acta Mathematica Hungarica, 1995
\(G\)-graded rings with an identity are considered where \(G\) is a finite group. First the concept of a graded variety is introduced and the graded version of Birkhoff's Theorem is proved. A proper subclass \({\mathcal V}\) of all \(G\)-graded rings is a graded radical graded semisimple class if and only if \({\mathcal V} \subseteq {\mathcal D}^g ...
Sands, A. D., Yahya, H.
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Quotient rings of graded associative rings. I

Journal of Mathematical Sciences, 2012
The 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., Kanunnikov, A. L., Mikhalev, A. V.   +2 more
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Artinian Semigroup-Graded Rings

Bulletin of the London Mathematical Society, 1995
Let \(S\) be a semigroup with no infinite subgroups and let \(R\) be a right Artinian \(S\)-graded ring. We prove that \(R\) necessarily has finite support.
Clase, M. V., Jespers, E., Kelarev, A. V., Okniński, J.   +3 more
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ON THE JACOBSON RADICAL OF GRADED RINGS

Communications in Algebra, 2001
Let S be a semigroup. A ring R is said to be S-graded if R = s ∈ S R s is a direct sum of additive subgroups R s and R s R t ⊆ R st for all s, t ∈ S.
Jespers, Eric, Kelarev, Andrej, Okninski, J.   +2 more
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Morita duality and graded rings

Communications in Algebra, 1991
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MENINI, Claudia, A. del RIO MATEOS
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Orthogonal Graded Completion of Graded Semiprime Rings

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Class of Band-Graded Rings

Journal of the London Mathematical Society, 1992
A ring means an associative ring. Let \(S\) be a semigroup. A ring \(R\) is \(S\)-graded iff \(R=\oplus R_ x\) \((x\in S)\), where \(R_ x\) is a subring of \(R\) and \(R_ xR_ y\subset R_{xy}\) for all \(x,y\in S\). Let \(\Omega\) be a band (i.e. \(\Omega\) is a semigroup consisting of idempotents only), and let \(R\) be a ring graded by \(\Omega\). The
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On graded trinil clean rings

Annali Dell'Universita Di Ferrara, 2022
Omar Kchit
exaly  

Idempotents in a Graded Ring

Journal of the London Mathematical Society, 1974
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