Geodesic
Some estimates for the least power of identities of subspaces $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2012), pp. 13-27

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We estimate the least power of identities of subspaces $M_1^{(m, k)}(F)$ of the matrix superalgebra $M^{(m, k)}(F)$ over the field $F$ for any $m$ and $k$. For subspaces $M_1^{(m, 1)}(F)$ $(m\geq1)$ and $M_1^{(2,2)}(F)$ we obtain concrete minimal identities.
Keywords: $T$-ideal, polynomial identity, matrix superalgebra. 
@article{IVM_2012_5_a1,
     author = {S. Yu. Antonov},
     title = {Some estimates for the least power of identities of subspaces $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {13--27},
     publisher = {mathdoc},
     number = {5},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_5_a1/}
}
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S. Yu. Antonov. Some estimates for the least power of identities of subspaces $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2012), pp. 13-27. http://geodesic.mathdoc.fr/item/IVM_2012_5_a1/