Matrix identities involving multiplication and transposition
Group Theory
2014-03-10 v5
Abstract
We study matrix identities involving multiplication and unary operations such as transposition or Moore-Penrose inversion. We prove that in many cases such identities admit no finite basis.
Cite
@article{arxiv.0902.1155,
title = {Matrix identities involving multiplication and transposition},
author = {Karl Auinger and Igor Dolinka and Mikhail Volkov},
journal= {arXiv preprint arXiv:0902.1155},
year = {2014}
}
Comments
35 pages, 1 figure. This paper has grown from the first part of the authors' preprint 0902.1155 (entitled "Equational theories of semigroups with enriched signature"). It focuses on the finite basis problem for matrix indentities involving multiplication and unary operations such as transposition or symplectic transpose or Moore-Penrose inversion