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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2012 Number 11, Pages 3–19 (Mi ivm8747)

This article is cited in 5 papers

The least degree of identities in the subspace $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$

S. Yu. Antonov

Chair of Higher Mathematics, Kazan State University of Power Engineering, Kazan, Russia

Abstract: 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.

Keywords: double Capelli polynomial, polynomial identity, matrix superalgebra.

UDC: 512

Received: 09.09.2011


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:11, 1–16

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