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Congruences on abundant semigroups with quasi-ideal S-adequate transversals

Lili Wang|Aifa Wang
대한수학회 (The Korean Mathematical Society)|2014.01|대한수학회논문집 (Communications of the KMS)|제29권 제1호|pp. 1-8

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참고문헌

키워드

congruenceabundant semigroupadequate transversalquasi-ideal transversalcongruence pair
주제분류수학

초록

In this paper, we give congruences on an abundant semi- group with a quasi-ideal S-adequate transversal S◦ by the congruence pair abstractly which consists of congruences on the structure component parts R and Λ. We prove that the set of all congruences on this kind of semigroups is a complete lattice.

Abstract

In this paper, we give congruences on an abundant semi- group with a quasi-ideal S-adequate transversal S◦ by the congruence pair abstractly which consists of congruences on the structure component parts R and Λ. We prove that the set of all congruences on this kind of semigroups is a complete lattice.

참고문헌 (12)

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  2. J. F. Chen, "Abundant semigroups with adequate transversals", 2000, 60(1), pp.67~79 (2000)
  3. A. El-Qallali, "semigroups with a multiplicative type A transversal", Semigroup Forum, 47(3), pp.327~340 (1993)
  4. J. B. Fountain, "Adequate semigroups", Proc. Edinburgh Math. Soc, 22(2), pp.113~125 (1979)
  5. J. B. Fountain, "Abundant semigroups", Proc London Math. Soc, 44(1), pp.103~129 (1982)
  6. X. J. Guo, "Abundant semigroups with a multiplicative adequate transversal", Acta Math. Sin, 18(2), pp.229~244 (2002)
  7. X. J. Guo, "Idempotent-connected abundant semigroups which are dis-joint unions of quasi-ideal adequate transversals", Comm. Algebra, 30(4), pp.1779~1800 (2002)
  8. Xiangjun Kong, "Abundant semigroups with quasi-ideal S-adequate transversals", 대한수학회논문집, 26(1), pp.1~12 (2011), 대한수학회
  9. X. L. Tang, "Regular semigroups with inverse transversals", Semigroup Forum, 55(1), pp.24~32 (1997)
  10. X. L. Tang, "Congruences on regular semigroups with inverse transver-sals", Comm. Algebra, 23(11), pp.4157~4171 (1995)
  11. L. M. Wang, On congruence lattice of regular semigroups with Q-inverse transversals, Semigroup Forum 50, "On congruence lattice of regular semigroups with Q-inverse transversals", Semigroup Forum, 50(2), pp.141~160 (1995)
  12. L. M. Wang, "Congruence lattices of regular semigroups with inverse transversals", Comm. Algebra, 26(4), pp.1234~1255 (1998)

관련 논문AI추천

Abundant semigroups with quasi-ideal S-adequate transversalsPei Wang, Xiangjun Kong대한수학회 · 대한수학회논문집2011 · 제26권 제1호On Rees matrix representations of abundant semigroups with adequate transversalsHe Li Zuo, Xian Ge Liu, Yan Jun Xiang, Zhen Lin Gao대한수학회 · 대한수학회논문집2009 · 제24권 제4호Left quasi-abundant semigroupsXueming Ren, Yanhui Wang, Zhulin Ji대한수학회 · 대한수학회지2019 · 제56권 제5호WEAKLY CANCELLATIVE ELEMENTS IN SEMIGROUPS신종문한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제1호Generalized ideal elements in le-Γ-semigroupsEdmond Pisha, Kostaq Hila대한수학회 · 대한수학회논문집2011 · 제26권 제3호ε-FUZZY CONGRUENCES ON SEMIGROUPS전인흥대한수학회 · 대한수학회논문집2008 · 제23권 제4호

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