| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Virginia Tech, Dept Math, Blacksburg, VA 24061 - USA
[2] Univ Nordland, Fac Profess Studies, NO-8049 Bodo - Norway
[3] Univ Sao Paulo, Dept Matemat, BR-05508 Sao Paulo - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Journal of Pure and Applied Algebra; v. 219, n. 12, p. 5573-5589, DEC 2015. |
| Web of Science Citations: | 0 |
| Abstract | |
If f is an idempotent in a ring Lambda, then we find sufficient conditions which imply that the cohomology rings circle plus n >= 0 Ext(Lambda)(n)(Lambda/r, Lambda/r) and circle plus n >= o EXf Lambda fn (f Lambda f/frf, f Lambda f/frf) are eventually isomorphic. This result allows us to compare finite generation and Gelfand-Kirillov dimensions of the cohomology rings of Lambda and f Lambda f. We are also able to compare the global dimensions of Lambda and f Lambda f. (C) 2015 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |