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On Weakly Commutative Abundant Semigroups

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Abstract

(Left or Right) Weakly commutative semigroups are described. Relationships of weakly commutative semigroups and (l- or r-) Archimedean semigroups are discussed. The structure theorems of weakly commutative semigroups and weakly commutative abundant semigroups are shown.

참고문헌 (5)

  1. A. Ei-Qallali,On the Construction of a class of Abundant semigroups, "Acta Math. Hung.", 56 1-2, pp.77~91 (1990)
  2. M. Petrich, "Introduction to Semigroups" (1973)
  3. A. H. Clifford, "The Algebraic Theory of Semigroups" (1961)
  4. Zhenlin Gao, "On the Least Property of the Semilattice Congruences on po-Semigroups", 56, pp.323~333 (1998)
  5. J. M. Howic, "An Infroduction to Semigruops Theory" (1976), Academic Press

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