On the factorability of the ideal of ⁎-graded polynomial identities of minimal varieties of PI ⁎-superalgebras
| Autor: | Onofrio Mario Di Vincenzo, Viviane Ribeiro Tomaz da Silva, Ernesto Spinelli |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Polynomial
Pure mathematics Algebra and Number Theory Mathematics::Commutative Algebra Rank (linear algebra) Mathematics::Rings and Algebras Subalgebra Zero (complex analysis) Triangular matrix Field (mathematics) graded polynomial identities Graded algebras involutions exponent Ideal (ring theory) Variety (universal algebra) Mathematics |
| Zdroj: | Journal of Algebra. 589:273-286 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2021.09.015 |
| Popis: | It has been recently proved that a variety of associative PI-superalgebras with graded involution of finite basic rank over a field of characteristic zero is minimal of fixed ⁎-graded exponent if, and only if, it is generated by a subalgebra of an upper block triangular matrix algebra, A : = U T Z 2 ⁎ ( A 1 , … , A m ) , equipped with a suitable elementary Z 2 -grading and graded involution. Here we give necessary and sufficient conditions so that Id Z 2 ⁎ ( A ) factorizes in the product of the ideals of ⁎-graded polynomial identities of its ⁎-graded simple components A i . |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect