# Matrix identities involving multiplication and transposition

Karl Auinger; Igor Dolinka; Michael V. Volkov

Journal of the European Mathematical Society (2012)

- Volume: 014, Issue: 3, page 937-969
- ISSN: 1435-9855

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topAuinger, Karl, Dolinka, Igor, and Volkov, Michael V.. "Matrix identities involving multiplication and transposition." Journal of the European Mathematical Society 014.3 (2012): 937-969. <http://eudml.org/doc/277806>.

@article{Auinger2012,

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.},

author = {Auinger, Karl, Dolinka, Igor, Volkov, Michael V.},

journal = {Journal of the European Mathematical Society},

keywords = {matrix transposition; symplectic transpose; Moore–Penrose inverse; matrix law; identity basis; finite basis problem; matrix transpositions; symplectic transposes; Moore-Penrose inverses; matrix laws; identity bases; finite basis problem},

language = {eng},

number = {3},

pages = {937-969},

publisher = {European Mathematical Society Publishing House},

title = {Matrix identities involving multiplication and transposition},

url = {http://eudml.org/doc/277806},

volume = {014},

year = {2012},

}

TY - JOUR

AU - Auinger, Karl

AU - Dolinka, Igor

AU - Volkov, Michael V.

TI - Matrix identities involving multiplication and transposition

JO - Journal of the European Mathematical Society

PY - 2012

PB - European Mathematical Society Publishing House

VL - 014

IS - 3

SP - 937

EP - 969

AB - 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.

LA - eng

KW - matrix transposition; symplectic transpose; Moore–Penrose inverse; matrix law; identity basis; finite basis problem; matrix transpositions; symplectic transposes; Moore-Penrose inverses; matrix laws; identity bases; finite basis problem

UR - http://eudml.org/doc/277806

ER -

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