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Commutative Semigroups whose Proper Homomorphic Images are All of Smaller Cardinality

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Abstract

We characterize those commutative semigroups S such that every nonisomorphic homomorphic image of S has smaller cardinality than S. We also characterize commutative groups with the same property.

참고문헌 (2)

  1. B. A. Jensen, "Commutative Semigroups Which Are Almost Finite", 27, pp.533~538 (1968)
  2. I. Kaplansky, "The University of Michigan Press" (1954)

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