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Minimal varieties of graded PI‐algebras over abelian groups.
- Source :
-
Bulletin of the London Mathematical Society . Jul2024, Vol. 56 Issue 7, p2441-2459. 19p. - Publication Year :
- 2024
-
Abstract
- Let F$F$ be a field of characteristic zero and G$G$ a finite abelian group. In this paper, we prove that an affine variety of G$G$‐graded PI‐algebras is minimal if and only if it is generated by a graded algebra UT(A1,⋯,Am;γ)$UT(A_1,\dots,A_m;\gamma)$ of upper block triangular matrices where A1,⋯,Am$A_1,\dots,A_m$ are finite‐dimensional G$G$‐simple algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ABELIAN groups
*FINITE groups
*ALGEBRA
*ABELIAN varieties
*AFFINE algebraic groups
Subjects
Details
- Language :
- English
- ISSN :
- 00246093
- Volume :
- 56
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Bulletin of the London Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 178296464
- Full Text :
- https://doi.org/10.1112/blms.13064