𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sign gradations on group ring extensions of graded rings

✍ Scribed by Hui-Shi Li; F. Van Oystaeyen

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
414 KB
Volume
85
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Group Gradings on Full Matrix Rings
Group Gradings on Full Matrix Rings
✍ S. DΔƒscΔƒlescu; B. Ion; C. NΔƒstΔƒsescu; J.Rios Montes πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 132 KB

We study G-gradings of the matrix ring M k , k a field, and give a complete n description of the gradings where all the elements e are homogeneous, called i, j good gradings. Among these, we determine the ones that are strong gradings or < < crossed products. If G is a finite cyclic group and k cont

Actions of Picard Groups on Graded Rings
Actions of Picard Groups on Graded Rings
✍ Jeremy Haefner; Angel del RΔ±&amp;#x0301;o πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 230 KB

fect or the grading of R is simpler e.g., R is a crossed product or a skew . group ring . We apply our solution of Problem A to the study of a more concrete problem: Problem B. Characterize semisimple strongly G-graded rings.

On the Stability of Graded Rings
On the Stability of Graded Rings
✍ H.S. Li πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 559 KB

Let \(R=\oplus_{n \in \mathbb{Z}} R_{n}\) be a left Noetherian, left graded regular \(\mathbb{Z}\)-graded ring (i.e., every finitely generated graded \(R\)-module has finite projective dimension). We prove that if every finitely generated graded projective \(R\)-module is graded stably free then eve