- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Congruences on abundant semigroups with quasi-ideal $S$-adequate transversals Commun. Korean Math. Soc. 2014 Vol. 29, No. 1, 1-8 https://doi.org/10.4134/CKMS.2014.29.1.1Printed January 31, 2014 Lili Wang and Aifa Wang Chongqing University of Technology, Chongqing University of Technology Abstract : In this paper, we give congruences on an abundant semigroup with a quasi-ideal $S$-adequate transversal $S^{\circ}$ by the congruence pair abstractly which consists of congruences on the structure component parts $R$ and $\Lambda$. We prove that the set of all congruences on this kind of semigroups is a complete lattice. Keywords : abundant semigroup, adequate transversal, quasi-ideal transversal, congruence, congruence pair MSC numbers : 20M10 Downloads: Full-text PDF

 Copyright © Korean Mathematical Society. (Rm.1109) The first building, 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd