Geodesic
Matrix identities involving multiplication and transposition
Journal of the European Mathematical Society, Tome 14 (2012) no. 3, pp. 937-969
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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.
DOI : 10.4171/jems/323
Classification : 20-XX, 03-XX, 15-XX, 00-XX
Keywords: Matrix transposition, symplectic transpose, Moore–Penrose inverse, matrix law, identity basis, finite basis problem 
@article{JEMS_2012_14_3_a10,
     author = {Karl Auinger and Igor Dolinka and Mikhail V. Volkov},
     title = {Matrix identities involving multiplication and transposition},
     journal = {Journal of the European Mathematical Society},
     pages = {937--969},
     year = {2012},
     volume = {14},
     number = {3},
     doi = {10.4171/jems/323},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/323/}
}
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Karl Auinger; Igor Dolinka; Mikhail V. Volkov. Matrix identities involving multiplication and transposition. Journal of the European Mathematical Society, Tome 14 (2012) no. 3, pp. 937-969. doi: 10.4171/jems/323

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