Abundant semigroups with a *-normal idempotent-Reference-Cited by-同舟云学术

Abundant semigroups with a *-normal idempotent

Published:2017-07-14 Issue:4 Volume:67 Page:863-874
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Hou Yonglin¹,Guo Junying²,Guo Xiaojiang¹

Affiliation:

1. Department of Mathematics Jiangxi Normal University Nanchang , Jiangxi 330022 P. R. China

2. College of Science and Technology Jiangxi Normal University Nanchang , Jiangxi 330022 P. R. China

Abstract

Abstract The notion of *-normal idempotents is introduced. The structure theorem for abundant semigroups with a *-normal idempotent is obtained. As its applications, we establish the construction theorem of naturally ordered abundant semigroups with a greatest idempotent.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0016/pdf

Reference19 articles.

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3. Blyth, T. S.—Almeida Santos, M. H.: On naturally ordered regular semigroups with biggest idempotents, Comm. Algebra 21 (1993), 1761–1771.

4. Blyth, T. S.—Mcfadden, R.: Naturally ordered regular semigroups with a greatest idempotent, Proc. Roy. Soc. Edinb. 91A (1981), 107–122.

5. Chen, H.: Construction of a kind of abundant semigroups, Math. Commun. 11 (2006), 165–171.

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