MMN-1756
PI-properties of some matrix algebras with involution
Abstract
We define the nilpotency index of the $\flat$-variables in second order matrix algebras with Grassmann entries and involution $\flat$. Identities of minimal degree are found for a concrete subalgebra of the matrix algebra $M_4(K)$. When it has an involution $\phi$ as well some of its $\phi$-identities are given. For an analogue of this subalgebra over finite dimensional Grassmann algebras a new involution $(\flat)$ is introduced and its $(\flat)$-identities are discussed.
Vol. 16 (2015), No. 2, pp. 1105-1116
DOI: 10.18514/MMN.2015.1756