Regular semigroups with left simplistic orthodox transversals

Regular semigroups with left simplistic orthodox transversals
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DOI:
10.1360/012010-560
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发表时间:
2011-08
期刊:
影响因子:
0.7
通讯作者:
Xiangjun Kong;Yanfeng Luo
Xiangjun Kong;Yanfeng Luo
中科院分区:
数学3区
文献类型:
--
作者:
Xiangjun Kong;Yanfeng Luo

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本文引入了左单纯纯正断面,并得到了与之相关的一些刻画。推广和推广了Blyth和Almeida Santos在1996年得到的关于左单纯逆断面的相关结果和Kon在2007年得到的关于纯正断面的相关结果。建立了具有左单纯纯正断面的正则半群的结构定理。
Left simplistic orthodox transversals are introduced in this paper and some characterizations as-sociated with them are obtained. The related results of Blyth and Almeida Santos on left simplistic inverse transversals obtained in 1996 and Kong on orthodox transversals obtained in 2007 are generalized and ampli ed. A structure theorem of regular semigroups with left simplistic orthodox transversals is also established.