Results 261 to 270 of about 3,213,924 (323)
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Ring theoretical properties of epsilon-strongly graded rings and Leavitt path algebras
Communications in Algebra, 2022We extend Dade’s theorem to the realm of nearly epsilon-strongly graded rings, and present new characterizations of strongly and epsilon-strongly graded rings.
Luis Martínez, H. Pinedo, Yerly Soler
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The graded ring of modular forms on the Cayley half-space of degree two
The Ramanujan journal, 2017A result by Hashimoto and Ueda says that the graded ring of modular forms with respect to SO(2,10)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs}
C. Dieckmann, A. Krieg, Martin Woitalla
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Graded Semiartinian Rings: Graded Perfect Rings
Communications in Algebra, 2003Abstract We study graded left semiartinian rings with finite support. It is shown that the semiartinian property is preserved when we pass to the smash product in the sense of Quinn. We apply these results to investigate left perfect graded rings.
C. Năstăsescu +2 more
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Canadian Journal of Mathematics, 1979
All rings considered will be commutative with identity. By a graded ring we will mean a ring graded by the non-negative integers.A ring R is called a π-ring if every principal ideal of R is a product of prime ideals. A π-ring without divisors of zero is called a π-domain.
Anderson, D. D., Matijevic, J.
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All rings considered will be commutative with identity. By a graded ring we will mean a ring graded by the non-negative integers.A ring R is called a π-ring if every principal ideal of R is a product of prime ideals. A π-ring without divisors of zero is called a π-domain.
Anderson, D. D., Matijevic, J.
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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 Mathematical Sciences, 2018
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Graded radicals of graded rings
Acta Mathematica Hungarica, 1991Let \(\lambda\) 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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