REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS

doi:10.1017/S1446788717000088

CORC > 上海财经大学 > 上海财经大学

	REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS
	Ni, Xiangfei 1; Chao, Haizhou 2
刊名	JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
	2017-08
卷号	103 期号:1 页码:116-125
关键词	regular semigroup normal idempotent orthodox semigroup
ISSN号	1446-7887
DOI	10.1017/S1446788717000088
英文摘要	In this paper, we investigate regular semigroups that possess a normal idempotent. First, we construct a nonorthodox nonidempotent-generated regular semigroup which has a normal idempotent. Furthermore, normal idempotents are described in several different ways and their properties are discussed. These results enable us to provide conditions under which a regular semigroup having a normal idempotent must be orthodox. Finally, we obtain a simple method for constructing all regular semigroups that contain a normal idempotent.
WOS研究方向	Mathematics
语种	英语
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000406351200007
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/934]
专题	上海财经大学
通讯作者	Ni, Xiangfei
作者单位	1.Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China; 2.Shanghai Univ Finance & Econ, Zhejiang Coll, Dept Math, Jinhua 321004, Peoples R China
推荐引用方式 GB/T 7714	Ni, Xiangfei,Chao, Haizhou. REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY,2017,103(1):116-125.
APA	Ni, Xiangfei,&Chao, Haizhou.(2017).REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY,103(1),116-125.
MLA	Ni, Xiangfei,et al."REGULAR SEMIGROUPS WITH NORMAL IDEMPOTENTS".JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY 103.1(2017):116-125.