The least degree of identities in the subspace \(M_1^{(m,k)}(F)\) of the matrix superalgebra \(M^{(m,k)}(F)\)
The author determines the least degree of identities in the subspace \(M_1^{(m,k)}(F)\) of the matrix superalgebra \(M^{(m,k)}(F)\) over a field \(F\) for arbitrary \(m\) and \(k\). For the subspace \(M_1^{(m,k)}(F)\) (\(k>1\)) he obtains concrete minimal identities and generalize some results of \textit{Q. Chang} [Proc. Am. Math. Soc. 104, No. 3, 707--710 (1988; Zbl 0691.16022)] and \textit{M. Domokos} [Commun. Algebra 23, No. 12, 4333--4342 (1995; Zbl 0834.16019)].
scientific article; zbMATH DE number 6148261
scientific article