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Weakly $U$-abundant semigroups with strong Ehresmann transversals

In: Mathematica Slovaca, vol. 68, no. 3
Dandan Yang
Detaily:
Rok, strany: 2018, 549 - 562
Kľúčové slová:
weakly $U$-abundant semigroups, Ehresmann transversals, pre-transversal systems
O článku:
The class of weakly $U$-abundant semigroups is an important source of non-regular semigroups, and it is well studied by semigroup theorists in recent years. An important subclass, called Ehresmann monoids, is deeply investigated by Branco, Gomes and Gould in 2014. In this paper, we are concerned with weakly $U$-abundant semigroups with strong Ehresmann transversals. Our aim is to give a structure theorem for such semigroups following the standard ``Rees Theorem" type approach. As a direct application of the main result, we reobtain the structure theorem of abundant semigroups with quasi ideal adequate transversals by Chen in 2000.
Ako citovať:
ISO 690:
Yang, D. 2018. Weakly $U$-abundant semigroups with strong Ehresmann transversals. In Mathematica Slovaca, vol. 68, no.3, pp. 549-562. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0124

APA:
Yang, D. (2018). Weakly $U$-abundant semigroups with strong Ehresmann transversals. Mathematica Slovaca, 68(3), 549-562. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0124
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