Some types of identities of subspaces $M_0^{(m,k)}(F)$, $M_1^{(m,k)}(F)$ of matrix superalgebra $M^{(m,k)}(F)$
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 1, pp. 189-201
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Some types of polynomials of free associative algebra $F\{Z\}$ have been introduced and investigated. The conditions under which these polynomials are the identities of subspaces $M_0^{(m, k)}(F)$, $M_1^{(m,k)}(F)$ of superalgebra $M^{(m, k)}(F)$ have been found.
Keywords:
$T$-ideal, polynomial identity, matrix superalgebra.
@article{UZKU_2012_154_1_a16,
author = {S. Yu. Antonov},
title = {Some types of identities of subspaces $M_0^{(m,k)}(F)$, $M_1^{(m,k)}(F)$ of matrix superalgebra $M^{(m,k)}(F)$},
journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
pages = {189--201},
publisher = {mathdoc},
volume = {154},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/UZKU_2012_154_1_a16/}
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S. Yu. Antonov. Some types of identities of subspaces $M_0^{(m,k)}(F)$, $M_1^{(m,k)}(F)$ of matrix superalgebra $M^{(m,k)}(F)$. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 1, pp. 189-201. http://geodesic.mathdoc.fr/item/UZKU_2012_154_1_a16/