Matrix identities involving multiplication and transposition

Auinger, 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 -