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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
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     title = {Some types of identities of subspaces $M_0^{(m,k)}(F)$, $M_1^{(m,k)}(F)$ of matrix superalgebra $M^{(m,k)}(F)$},
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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/

[1] Antonov S. Yu., “Naimenshaya stepen tozhdestv podprostranstva $M_1^{(2,1)}(F)$ matrichnoi superalgebry $M^{(2,1)}(F)$”, Trudy Mezhdunar. konf. KLIN-2007, v. 4, UlGTU, Ulyanovsk, 2007, 27–30