Results 221 to 230 of about 30,010 (264)
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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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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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Gabriel Dimension for Graded Rings
Applied Categorical Structures, 2006Let \(G\) be a group with identity element \(e\), and let \(R=\bigoplus_{\sigma\in G}R_\sigma\) be a ring graded by \(G\), such that the grading has finite support. Using colocalization for Grothendieck categories with a family of projective generators, it is proved that if the category \(R_e\)-mod has Gabriel dimension, then so does the category \(R\)-
M. J. Asensio +2 more
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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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Journal of Mathematical Sciences, 2018
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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, 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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Morita duality and graded rings
Communications in Algebra, 1991---
MENINI, Claudia, A. del RIO MATEOS
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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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