Kyungpook Mathematical Journal

  • 제46권2호
  • /
  • Pages.231-233
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  • 2006
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
권호 표지

Commutative Semigroups whose Proper Homomorphic Images are All of Smaller Cardinality

  • Tucci, Ralph P. (Department of Mathematics and Computer Science, Loyola University New Orleans)
  • 투고 : 2004.11.05
  • 발행 : 2006.06.23
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초록

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

키워드

참고문헌

  1. A. H. Clifford and G. B. Preston, The Algebraic Theory of Semigroups, Amer. Math. Soc., Providence, Rhode Island, 1(1961).
  2. B. A. Jensen and D. W. Miller, Commutative Semigroups Which Are Almost Finite, Pacific J. Math., 27(1968), 533-538. https://doi.org/10.2140/pjm.1968.27.533
  3. I. Kaplansky, Infinite Abelian Groups, The University of Michigan Press, Ann Arbor, Michigan, 1954.