| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Campinas, Dept Math, IMECC, BR-13083970 Campinas, SP - Brazil
[2] Moscow MV Lomonosov State Univ, Dept Algebra, Fac Math & Mech, Moscow 119992 - Russia
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 432, n. 12, p. 3141-3148, JUL 1 2010. |
| Web of Science Citations: | 15 |
| Abstract | |
Let G be an arbitrary abelian group and let A and B be two finite dimensional G-graded simple algebras over an algebraically closed field F such that the orders of all finite subgroups of G are invertible in F. We prove that A and B are isomorphic if and only if they satisfy the same G-graded identities. We also describe all isomorphism classes of finite dimensional G-graded simple algebras. (C) 2010 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 08/02938-8 - Mikhail Vladimirovich Zaicev | Moscow State University - Rússia |
| Grantee: | Plamen Emilov Kochloukov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 05/60337-2 - Lie and Jordan algebras, their representations and generalizations |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |