Matrix identities involving multiplication and transposition

Karl Auinger; Igor Dolinka; Mikhail V. Volkov

doi:10.4171/jems/323

JournalsjemsVol. 14, No. 3pp. 937–969

Matrix identities involving multiplication and transposition

Karl Auinger
Universität Wien, Austria
- MathSciNet
- zbMATH Open
Igor Dolinka
University Novi Sad, Serbia
- MathSciNet
- zbMATH Open
Mikhail V. Volkov
Ural Federal University, Ekaterinburg, Russian Federation

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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 this article

Karl Auinger, Igor Dolinka, Mikhail V. Volkov, Matrix identities involving multiplication and transposition. J. Eur. Math. Soc. 14 (2012), no. 3, pp. 937–969

DOI 10.4171/JEMS/323