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拟-C半群的结构(英文)

A STRUCTURE OF QUASI-C SEMIGROUPS
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摘要 本文研究了拟-C半群的结构.利用拟直积的方法,证明了半群S是拟-C半群,当且仅当S是左正规带,Clifford半群和右正规带的拟直积,推广了Clifford半群. In this article, we study the structure of quasi-C semigroups. By quasi-direct product, we prove that a semigroup S is quasi-C semigroup if and only if S is a quasi-direct product of a left normal band, a Clifford semigroup and a right normal band, which generalizes the Clifford semigroup.
出处 《数学杂志》 CSCD 北大核心 2013年第4期625-631,共7页 Journal of Mathematics
基金 Supported by National Natural Science Foundation of China(10671151) Youth Foundation of School(QN1134 QN1138) NSFC(11226044) Scientific Research Program Funded by Shanxi Provincial Education Department(12JK0876 12JK1000)
关键词 CLIFFORD半群 拟-C半群 正规带 拟直积 Clifford semigroup quasi-C semigroup normal band quasi-direct product
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参考文献5

  • 1Clifford A H, Preston G B. The algebraic theory of semigroups[M]. Providence RI: Amer. Math Soc., 1961. 被引量:1
  • 2Zhu Pinyu, Guo Yuqi, Shum K P. Structure and characterizations of left Clifford semigroup[J] Science in China Series A, 1992, 35: 791-805. 被引量:1
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  • 5Yamada M. On a regular semigroup in which the idempotents form a band[J]. Pacific J. Math. 1970, 33: 261-272. 被引量:1

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