Applications of epigroups to graded ring theory.

For any non-torsion group $G$ with identity $e$ , we construct a strongly $G$ -graded ring $R$ such that the Jacobson radical $J (R_{e})$ is locally nilpotent, but $J (R)$ is not locally nilpotent. This answers a question posed by Puczyłowski.

Tame homomorphisms of polytopal rings.

Erlandsson, Viveka (2008)

Beiträge zur Algebra und Geometrie

Similarity:

A structure sheaf on the projective spectrum of a graded fully bounded Noetherian ring.

Samir Mahmoud, S. (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Similarity:

Group-Graded Rings and Modules.

Everett C. Dade (1980)

Mathematische Zeitschrift

Similarity:

Weak dimension of group-graded rings.

Angel del Río (1990)

Publicacions Matemàtiques

Similarity:

We study the weak dimension of a group-graded ring using methods developed in [B1], [Q] and [R]. We prove that if R is a G-graded ring with G locally finite and the order of every subgroup of G is invertible in R, then the graded weak dimension of R is equal to the ungraded one.

Superlinear algebra or two-graded algebraic structures.

Dragomir Z. Djokovic (1979)

Journal für die reine und angewandte Mathematik

Similarity: