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WLR-regular orthogroups |
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| Authors: | Jiangang Zhang Guangtian Song Guoxin Liu |
| Institution: | (1) Department of Mathematics, Shanghai Normal University, Shanghai, 200234, People’s Republic of China;(2) Department of Mathematics, University of Science and Technology of China, Hefei, Anhui, 230026, People’s Republic of China;(3) Department of Mathematics, Southwest University, Chongqing, 400715, People’s Republic of China |
| Abstract: | 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. Research supported by General Scientific Research Project of Shanghai Normal University No. SK200707. |
| Keywords: | Clifford semigroup Left (right) regular orthogroup Spined product Cryptogroup |
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