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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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Density Theorems for Graded Rings
Journal of Mathematical Sciences, 2005The Jacobson density theorem states that any primitive ring is a dense subring of the ring of linear transformations of a vector space over some division ring. The paper provides three graded versions of the density theorem for the rings graded by semigroups and modules graded by acts over these semigroups with additional cancellation conditions.
Balaba, I. N. +3 more
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Artinian Semigroup-Graded Rings
Bulletin of the London Mathematical Society, 1995Let \(S\) 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. +3 more
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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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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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Multiplication rings and graded rings
Communications in Algebra, 1999José Escoriza, Bias Torrecillas
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