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  • 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.
  • 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. (en)
Title
  • An equimorphic diversity case
  • An equimorphic diversity case (en)
skos:prefLabel
  • An equimorphic diversity case
  • An equimorphic diversity case (en)
skos:notation
  • RIV/68407700:21230/11:00181517!RIV12-MSM-21230___
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  • P(1M0545), Z(MSM0021620838), Z(MSM6840770038)
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  • 1
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  • 185459
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  • RIV/68407700:21230/11:00181517
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  • Category; Variety; Semigroup; Equimorphism; Diversity (en)
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  • US - Spojené státy americké
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  • [00F505383951]
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  • Journal of Algebra
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  • 338
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  • Demlová, Marie
  • Goralcik, P.
  • Koubek, V.
http://linked.open...ain/vavai/riv/wos
  • 000291513200010
http://linked.open...n/vavai/riv/zamer
issn
  • 0021-8693
number of pages
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  • 10.1016/j.jalgebra.2011.02.044
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  • 21230
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