Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5771805 | Journal of Algebra | 2017 | 12 Pages |
Abstract
We study graded symmetric algebras, which are the symmetric monoids in the monoidal category of vector spaces graded by a group. We show that a finite dimensional graded semisimple algebra is graded symmetric. The center of a symmetric algebra is not necessarily symmetric, but we prove that the center of a finite dimensional graded division algebra is symmetric, provided that the order of the grading group is not divisible by the characteristic of the base field.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
S. DÄscÄlescu, C. NÄstÄsescu, L. NÄstÄsescu,