Results 241 to 250 of about 848,438 (282)

Graded π-rings

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.
openaire   +1 more source

Graded Quotient Rings

Journal of Mathematical Sciences, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Gabriel Dimension for Graded Rings

Applied Categorical Structures, 2006
Let \(G\) 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, Constantin Nastasescu, Blas Torrecillas   +2 more
openaire   +1 more source

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.
openaire   +1 more source

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.
openaire   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +2 more sources

Morita duality and graded rings

Communications in Algebra, 1991
---
MENINI, Claudia, A. del RIO MATEOS
openaire   +1 more source

Orthogonal Graded Completion of Graded Semiprime Rings

Journal of Mathematical Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source