On Refined Semilattices of Semigroups-Reference-Cited by-同舟云学术

On Refined Semilattices of Semigroups

Published:2008-06 Issue:02 Volume:15 Page:331-336
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Wang Zhengpan¹²,Guo Yuqi²,Shum K. P.³

Affiliation:

1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

2. Department of Mathematics, Southwest China University, Chongqing 400715, China

3. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, China

Abstract

We give a short proof for the associativity of the binary operation defined on a refined system of semigroups indexed by a semilattice. The main result given by Zhang, Shum and Zhang in 2001 on the refined semilattice of semigroups is substantially strengthened.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386708000308

Reference9 articles.

1. ON THE STRUCTURE OF REGULAR CRYPTO SEMIGROUPS

2. Completely Regular Semigroups with Generalized Strong Semilattice Decompositions

3. X. Z. Kong and K. P. Shum, Pragmatic Algebra (SAS International Publications, Delhi, 2006) pp. 1–19.

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