关于4-循环半群的一些子半群-Ⅱ

数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 390-396.

关于4-循环半群的一些子半群-Ⅱ

1. School of Mathematics and Statistics, Puer University 2. School of Mathematics, South China Normal University

收稿日期:2012-03-24 出版日期:2013-09-30 发布日期:2023-02-23
作者简介:SHANG Yu(1970-), male, native of Puer, Yunnan, an associate professor of Puer University, Ph.D., engages in the study of the algebraic analysis of semigroup theory; WANG Li-min(1962-), male, native of Xiangyang, Hubei, a professor of South China Normal University, Ph.D., engages in the study of the algebraic analysis of semigroup theory.
基金资助:
Supported by the Science Foundation of the Department of Education of Yunnan Province(2011Y478)

On Some Subsemigroups of the 4-cyclic Semigroup-II

1. School of Mathematics and Statistics, Puer University 2. School of Mathematics, South China Normal University

Received:2012-03-24 Online:2013-09-30 Published:2023-02-23
About author:SHANG Yu(1970-), male, native of Puer, Yunnan, an associate professor of Puer University, Ph.D., engages in the study of the algebraic analysis of semigroup theory; WANG Li-min(1962-), male, native of Xiangyang, Hubei, a professor of South China Normal University, Ph.D., engages in the study of the algebraic analysis of semigroup theory.
Supported by:
Supported by the Science Foundation of the Department of Education of Yunnan Province(2011Y478)

摘要/Abstract

摘要： In this paper, we study subsemigroups B_d,0of the 4-cyclic semigroup B_ω2and characterize the Green’s relations of B_d,0. We show that, up to isomorphism, the only fundamental simple inverse ω²-semigroups such that D|_E(S)=M_d are the semigroups B_d,0(d=1,2,3,···).

关键词: ω²-semigroup, 4-cyclic semigroup, Green’s relations

Abstract: In this paper, we study subsemigroups B_d,0of the 4-cyclic semigroup B_ω2 and characterize the Green’s relations of B_d,0. We show that, up to isomorphism, the only fundamental simple inverse ω²-semigroups such that D|_E(S)=Md are the semigroups B_d,0(d=1,2,3,···).

Key words: ω²-semigroup, 4-cyclic semigroup, Green’s relations

中图分类号:

O152.7

商宇, 汪立民. 关于4-循环半群的一些子半群-Ⅱ[J]. 数学季刊, 2013, 28(3): 390-396.

SHANG Yu, WANG Li-min. On Some Subsemigroups of the 4-cyclic Semigroup-II[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(3): 390-396.

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