Bases of identities of certain varieties of completely simple semigroups

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


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 languageRussian
Title of host publicationAlgebraic actions and orderings
PublisherLeningrad. Gos. Ped. Inst., Leningrad
Number of pages4
StatePublished - 1983

Cite this