共查询到18条相似文献,搜索用时 109 毫秒
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关于弱交换PO—半群 总被引:1,自引:1,他引:0
在本文中我们引入弱交换PO-半群的概念,并研究这类半群到其Archimedes子半群的半格分解,给出这类半群似于无序半群的相应结果的一个刻画。作为推论,我们得到弱交换POe-群和无序半群的相应刻画。 相似文献
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本文引入弱交换po-半群的概论2,研究这类半群到Archimedean子半群的半格分解,得到了这半群类似于具平凡序的弱交换半群的一个特征,由此在更一般的情形下回答了Kehayopulu在「1」中提出的一个问题,并作为推论得到弱交换poe-半群和具平凡序的弱交换半群的已知结果。 相似文献
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弱交换富足序半群(Ⅰ) 总被引:5,自引:0,他引:5
本文将序半群上的 Green’s-关系推广为 Green’s*一关系.给出主序(左、右)*-理想、主序*-滤特征描述和弱交换富足序半群的特征.用这些特征证明了一类弱交换富足序半群的结构定理:若序半群S满足 ,则S是弱交换富足序半群当且仅当S是左(右)单序半群{(e)(S)}的半格. 相似文献
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在本文中,弱P-正则半群上的弱P-正则,弱正规子集的概念被介绍.在弱P-正则半群上的弱P-正则,弱正规子集的若干性质被获得后,我们给出了弱P-正则半群上的幂等元分离同余格的一个刻画。 相似文献
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本文刻画了■*-覆盖正则半群的结构,得到了弱覆盖正则半群和覆盖正则半 群的分类.作为其主要结论的应用, 我们还得到了(?)-覆盖完全正则半群, 弱覆盖完 全正则半群和覆盖完全正则半群的结构刻画. 相似文献
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本文刻画了■*-覆盖正则半群的结构,得到了弱覆盖正则半群和覆盖正则半 群的分类.作为其主要结论的应用, 我们还得到了(?)-覆盖完全正则半群, 弱覆盖完 全正则半群和覆盖完全正则半群的结构刻画. 相似文献
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In this paper, we generalize the concepts of (intra-, left, right, completely) π-regular semigroups without order to po-semigroups and discuss characterizations and relationships concerning them. Moreover, we introduce the concepts of nil-extensions of po-semigroups first, then consider properties and characterizations of po-semigroups which are nil-extensions of (left, rightt-) simple (π-regular) po-semigroups and complete semilattices of this class of po-semigroups. 相似文献
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Niovi Kehayopulu 《Mathematica Slovaca》2012,62(3):417-424
In this paper we add one more characterization of intra-regular ordered semigroups in the existing bibliography by proving
that the ordered semigroups whose elements are separated by prime ideals are actually the intra-regular ordered semigroups,
a result which generalizes the corresponding result of semigroups (without order). 相似文献
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Zhenlin Gao 《Semigroup Forum》1998,56(3):323-333
n on po-semigroups. We study the least property of (ordered) semilattice congruences, and prove:
1. N is the least ordered semilattice congruence on pr-semigroups (cf.[1]).
2. n is the least semilattice congruence on po-semigroups.
3. N is not the least semilattice congruence on po-semigroups in general.
Thus, we give a complete solution to the problem posed by N. Kehayopulu in [1]. 相似文献
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Directed graphs have long been used to gain an understanding of the structure of semigroups, and recently the structure of directed graph semigroups has been investigated resulting in a characterization theorem and an analog of Frucht’s Theorem. We investigate two inverse semigroups defined over undirected graphs constructed from the notions of subgraph and vertex set induced subgraph. We characterize the structure of the semilattice of idempotents and lattice of ideals of these inverse semigroups. We prove a characterization theorem that states that every graph has a unique associated inverse semigroup up to isomorphism allowing for an algebraic restatement of the Edge Reconstruction Conjecture. 相似文献
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本文介绍纯整Ehresmann半群.纯整Ehresmann半群是一类特殊的U-半富足半群,我们给出了这类半群的若干刻划,并讨论了一些特殊的纯整Ehresmann半群. 相似文献
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Quasi-C-Ehresmann Semigroups and Their Subclasses 总被引:3,自引:0,他引:3
We introduce the concept of a quasi-C-Ehresmann semigroup. Some
special quasi-C-Ehresmann semigroups will be considered. We will
show that the quasi-C-Ehresmann semigroups are special
U-semiabundant semigroups and orthodox U-liberal semigroups,
which have been recently studied by several authors. Some
characterization theorems of this new class of semigroups are
obtained. Many results of quasi-C-semigroups in the literature
can be extended to quasi-C-Ehresmann Semigroups. 相似文献