Cocharacters and gradedGelfand-Kirillov dimension for PI-algebras
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Author(s): |
Total Authors: 2
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Affiliation: | [1] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari - Italy
[2] Univ Estadual Campinas, IMECC, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP - Brazil
[3] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, Ave Antonio Carlos 6627, BR-31270901 Belo Horizonte, MG - Brazil
Total Affiliations: 3
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Document type: | Journal article |
Source: | ALGEBRAS AND REPRESENTATION THEORY; v. 24, n. 6, p. 1441-1458, DEC 2021. |
Web of Science Citations: | 0 |
Abstract | |
Let F be an infinite field of characteristic different from two and E be the unitary Grassmann algebra of an infinite dimensional F-vector space L. Denote by E-gr an arbitrary Z(2)-grading on E such that the subspace L is homogeneous. We consider E-gr circle times E-circle times n as a (Z(2) x Z(2)(n))-graded algebra, where the grading on E is supposed to be the canonical one, and we find its graded ideal of identities. (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 |