Let G be a variety of groups of exponent n, and G1 be a subvariety of G (possibly G1=G). Denote by CS(G,G1) the variety of all completely simple semigroups S=M(H,I,J,P) (the matrix P is normalized) which have the following properties: (1) H∈G, (2) if an identity u(x1,⋯,xn)=v(x1,⋯,xn) holds in G1 then u(p1,⋯,pn)=v(p1,⋯,pn) for any elements p1,⋯,pn of P. The author determines a basis of identities of CS(G,G1) if bases of identities of G and G1 are known.
|Title of host publication||Algebraic actions and orderings|
|Publisher||Leningrad. Gos. Ped. Inst., Leningrad|
|Number of pages||4|
|State||Published - 1983|