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Central polynomials of the second-order matrix algebra with graded involution.
- Source :
-
Journal of Algebra . Feb2024, Vol. 639, p574-595. 22p. - Publication Year :
- 2024
-
Abstract
- Let F be an infinite field and M 1 , 1 (F) be the algebra of 2 × 2 matrices over F endowed with non-trivial Z 2 -grading. We consider the involutions ⁎ defined on M 1 , 1 (F) which preserve the homogeneous components of the grading. In this paper, we deal with the ⁎-superalgebra (M 1 , 1 (F) , ⁎) and determine the generators of its ideal of (Z 2 , ⁎) -identities, considering that F has characteristic zero and also, we explicitly construct the generators of its space of central (Z 2 , ⁎) -polynomials, when the characteristic of F is different from 2. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATRICES (Mathematics)
*POLYNOMIALS
*ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 639
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 173858079
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2023.11.002