Factorisable Quasi-adequate Semigroups

Chinese Quarterly Journal of Mathematics ›› 2011, Vol. 26 ›› Issue (1): 93-99.

Factorisable Quasi-adequate Semigroups

1. Department of Mathematics, Jiangxi Vocational and Technical College of Communication2. Department of Mathematics, Jiangxi Normal University

Received:2007-04-23 Online:2011-03-30 Published:2023-05-11
About author:PENG Ting-ting(1983- ), female, native of Pingxiang, Jiangxi, a master student of Jiangxi Normal University, engages in semigroups; GUO Xiao-jiang(1967- ), male, native of Yichun, Jiangxi, a professor of Jiangxi Normal University, engages in semigroups.
Supported by:
Supported by the NSF of Jiangxi Province(0511037)；

Abstract

Abstract: In this paper, we investigate a class of factorisable IC quasi-adequate semigroups, so-called, factorisable IC quasi-adequate semigroups of type-(H,I). Some characterizations of factorisable IC quasi-adequate semigroups of type-(H,I) are obtained. In particular, we prove that any IC quasi-adequate semigroup has a factorisable IC quasi-adequate subsemigroups of type-(H,I) and a band of cancellative monoids.

Key words: factorisable semigroup, IC quasi-adequate semigroup, factorisable abundant
semigroups of type-(H, I)

CLC Number:

O152.7

PENG Ting-ting, GUO Xiao-jiang. Factorisable Quasi-adequate Semigroups [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 93-99.

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Factorisable Quasi-adequate Semigroups

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