| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Campinas, IMECC, Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
[2] Univ Fed Bahia, Dept Matemat, Ave Adhemar de Barros, BR-40170110 Salvador, BA - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Algebra; v. 521, p. 137-165, MAR 1 2019. |
| Web of Science Citations: | 1 |
| Abstract | |
Let F be a field of characteristic zero. In {[}25] it was proved that UJ(2), the Jordan algebra of 2 x 2 upper triangular matrices, can be endowed up to isomorphism with either the trivial grading or three distinct non-trivial Z(2)-gradings or by a Z(2) x Z(2)-grading. In this paper we prove that the variety of Jordan algebras generated by UJ(2) endowed with any G-grading has the Specht property, i.e., every T-G-ideal containing the graded identities of UJ(2) is finitely based. Moreover, we prove an analogue result about the ordinary identities of A(1), a suitable infinitely generated metabelian Jordan algebra defined in {[}27]. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 18/02108-7 - Identities in (non) associative algebras and related themes. |
| Grantee: | Lucio Centrone |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 15/08961-5 - Growth of algebras with polynomial identities |
| Grantee: | Lucio Centrone |
| Support Opportunities: | Regular Research Grants |