Commutative Semigroups with Few Invariant Congruences

  title={Commutative Semigroups with Few Invariant Congruences},
  author={R Bashir},
Simple objects in the class of commutative semigroups with a group of automorphisms are studied. Among others, the following result is proven: Let S be a semilattice possessing no smallest element and such that S is simple over a commutative automorphism group G. Then (up to isomorphism) S is a subchain of the real line R, G is a subgroup of R(+) and G + S S. 

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