WLR-regular orthogroups

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• 作者：Jiangang Zhang ; Guangtian Song and Guoxin Liu
• 关键词：Clifford semigroup ; Left (right) regular orthogroup ; Spined product ; Cryptogroup
• 刊名：Semigroup Forum
• 出版年：2008
• 出版时间：December, 2008
• 年：2008
• 卷：77
• 期：3
• 页码：463-473
• 全文大小：327.2 KB

文摘

A regular orthogroup S with the property that D _e =R _e or D _e =L _e for any idempotent e∈S is called a WLR-regular orthogroup. In this paper, we give constructions of such semigroups in terms of spined products of left and right regular orthogroups with respect to Clifford semigroups. WLR-cryptogroups and its special cases are also investigated.