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On the semiatomicity for completely right injective semigroup

Eunho L. Moon
대한수학회 (The Korean Mathematical Society)|2004.01|대한수학회논문집 (Communications of the KMS)|제19권 제1호|pp. 1-10

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Abstract

We here consider necessary and sufficient conditions for acompletely right injective semigroup S whose lattice L(S) ofright congruences on S is semiatomic. These are preceded by anumber of results on the characterization of a semigroup S inwhich every automaton over S is injective(called a completelyright injective semigroup).

참고문헌 (8)

  1. "Algebraic theory ofsemigroups", 1 (1961)
  2. "Completely injectivesemigroups with central idempotents", 10, pp.16~ (1969)
  3. "An introduction to semigroup theory" (1976), AcademicPress
  4. "Completely right projective semigroups", 9(2), pp.119~128 (2002)
  5. "On essential right congruences of semigroup", 57 1991, pp.73~
  6. "Semigroups whose lattices of right congruences aresemiatomic", 27(5), pp.2317~2329 (1999)
  7. "On the semiatomicity for semigroups", 16, pp.481~486 (1999)
  8. "Tamkang J. Math. 16(1985", no. 2

관련 논문AI추천

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