Matrix identities involving multiplication and transposition

Mathematics – Group Theory

Scientific paper

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35 pages, 1 figure. This paper has grown from the first part of the authors' preprint 0902.1155 (entitled "Equational theories

Scientific paper

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.

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