An equimorphic diversity case

作者：Demlova M^*; Goralcik R; Koubek V

来源：Journal of Algebra, 2011, 338(1): 157-168.

DOI：10.1016/j.jalgebra.2011.02.044

• Category
• Variety
• Semigroup
• Equimorphism
• Diversity

B.M. Schein has proved that in the semigroup variety NIB = Mod(x(2) = x, xuvy = xvuy) of normal bands one can find at most four pairwise non-isomorphic semigroups with isomorphic monoids of endomorphisms. We prove here the same result for the extension semigroup variety (NB) over tilde = Mod(x(2)y = xy,xuvy = xvuy) of NB, properly separated from N only by the variety of inflations of the N-semigroups.

• 出版日期2011-7-15