On the Construction of Regular Orthocryptogroups |
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| Authors: | Xiang Zhi Kong |
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| Affiliation: | (1) Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China, CN;(2) Department of Mathematics, Qufu Normal University, Qufu 273165, P. R. China E-mail: kongxz@gfnu.edu.cn, CN |
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| Abstract: | The aim of this paper is to study regular orthocryptogroups. After obtaining some characterizations of such semigroups, we establish the construction theorem of regular orthocryptogroups. As an application, we give the construction theorem of right quasi-normal orthocryptogroups and study homomorphisms between two regular orthocryptogroups. Received September 24, 1999, Accepted May 9, 2001 |
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| Keywords: | Completely regular semigroup Regular band Orthodox Homomorphism Natural partial order |
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