共查询到10条相似文献,搜索用时 140 毫秒
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本文研究纯正的群的正则带.在给出这类半群的若干特征后,建立了纯正的群的正则带的构造定理.作为应用,同时给出了纯正的群的右拟正规带的构造定理. 相似文献
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The concept of
-strong semilattice of semigroups is introduced. By using this concept, we study properties of regular orthocryptosemigroups.
Necessary and sufficient conditions for a semisuperabundant orthosemigroup to be a regular orthocryptosemigroup or a right
quasi-normal orthocryptosemigroup and a normal orthocryptosemigroup are obtained. Important results of [11], Theorem 2.7,
Chapter 4 on normal orthocryptogroups are generalized and enriched. 相似文献
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本文给出了基本的弱正则*-半群的一个结构定理.作为这一结构定理的特 殊情形,基本的正则*-半群的一个新的结构被给出. 相似文献
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A. Van Daele 《代数通讯》2013,41(6):2341-2386
A simple and nice structure theorem for orthogroups was given by Petrich in 1987. In this paper, we consider a generalized orthogroup, that is, a quasi-completely regular semigroup with a band of idempotents in which its set of regular elements, namely, RegS, forms an ideal of S. A method of construction of such semigroups is provided and as a result, the Petrich structure theorem of orthogroups becomes an immediate corollary of our theorem on generalized orthogroups. An example of such generalized orthogroup is also constructed. This example provides some useful information for the construction of various kinds of quasi-completely regular semigroups. 相似文献
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正则纯整群带的算子半群和同余网 总被引:1,自引:0,他引:1
正则半群S的同余格(S)上的算子K,k,T和t定义如下:对于ρ∈S,ρK和ρk(ρT和ρt)分别是与ρ有相同核(迹)的最大和最小同余.我们确定了所有正则纯整群带的同余格上由K,k,T和t生成的算子半群.并确定了正则纯整群带上任意同余的同余网. 相似文献
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本文给出了带正则*-断面的正则半群的若干性质,获得了带拟理想正则*-断面的正则半群的一个构造方法.利用这一构造定理,考虑了这类半群上的同余. 相似文献
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In the article, we study the theory of slice regular compositions. Especially, the Littlewood subordination principle and the Denjoy–Wolff-type theorem are established for slice regular functions. 相似文献