Geodesic
The least degree of identities in the subspace $M_1^{(m,k)}(F)$ of the matrix superalgebra~$M^{(m,k)}(F)$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2012), pp. 3-19

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We determine the least degree of identities in the subspace $M_1^{(m, k)}(F)$ of the matrix superalgebra $M^{(m, k)}(F)$ over the field $F$ for arbitrary $m$ and $k$. For the subspace $M_1^{(m, k)}(F)$ $(k>1)$ we obtain concrete minimal identities and generalize some results by Chang and Domokos.
Mots-clés : double Capelli polynomial
Keywords: polynomial identity, matrix superalgebra. 
@article{IVM_2012_11_a0,
     author = {S. Yu. Antonov},
     title = {The least degree of identities in the subspace $M_1^{(m,k)}(F)$ of the matrix superalgebra~$M^{(m,k)}(F)$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--19},
     publisher = {mathdoc},
     number = {11},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_11_a0/}
}
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S. Yu. Antonov. The least degree of identities in the subspace $M_1^{(m,k)}(F)$ of the matrix superalgebra~$M^{(m,k)}(F)$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2012), pp. 3-19. http://geodesic.mathdoc.fr/item/IVM_2012_11_a0/