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Projectively condensed semigroups,generalized completely regular semigroups and projective orthomonoids 总被引:1,自引:0,他引:1
The class of projectively condensed semigroups is a quasivariety of unary semigroups, the class of projective orthomonoids is a subquasivariety
of . Some well-known classes of generalized completely regular semigroups will be regarded as subquasivarieties of . We give the structure semilattice composition and the standard representation of projective orthomonoids, and then obtain
the structure theorems of various generalized orthogroups.
Partially supported by a UGC (HK) grant #2060123 (04-05). 相似文献
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乘法半群为正规纯整群的半环 总被引:2,自引:2,他引:0
乘法半群为正规纯整群[矩形群]的半环类记为NBG(eG).本文主要研究了NBG中半环的一些性质和它的坚固框架结构. 相似文献
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研究了加法半群为半格,乘法半群为左正规纯正群的半环.证明了此类半环(S,+,.)可以嵌入到半格(S,+)的自同态半环中.构造S的一个特定的偏序关系,得到了(S,·)上的自然偏序与所构造偏序相等的等价条件. 相似文献
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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. 相似文献
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作为拟C-半群的推广,本文定义了左半正则纯整群并群,给出了它的左半织积结构。讨论了两类特殊的右(右)半正则纯整群并半群,得出了左(右)半正则纯整群并半群类与拟C-半群类之间的关系。 相似文献
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