Graded identities forT-prime algebras over fields of positive characteristic

In this paper we study 2-graded polynomial identities. We describe bases of these identities satisfied by the matrix algebra of order twoM2(K), by the algebraM1,1(G), and by the algebraG ⊗KG. HereK is an arbitrary infinite field of characteristic not 2,G stands for the Grassmann (or exterior) algebra of an infinite dimensional vector space overK, andM1,1(G) is the algebra of all 2×2 matrices overG whose entries on the main diagonal are even elements ofG, and those on the second diagonal are odd elements ofG. The gradings on these three algebras are supposed to be the standard ones.