Abstract
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.
Original language | Russian |
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Title of host publication | Algebraic actions and orderings |
Publisher | Leningrad. Gos. Ped. Inst., Leningrad |
Pages | 138-141 |
Number of pages | 4 |
State | Published - 1983 |