共查询到16条相似文献,搜索用时 78 毫秒
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P-反演半群上的强P-同余 总被引:9,自引:0,他引:9
本文介绍了P-反演半群S(P)的概念,借助于核与迹刻画了P-反演半群上的强P-同余,并且证明了S(P)上的任一强P-同余可以决定S(P)的一个强P-同余对,反之S(P)的任一强P-同余对,可以决定S(P)上的一个强P-同余. 相似文献
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本文利用核-迹方法,研究了弱P-反演半群上的强P-同余.给出了强P-同余对和强P-同余关系之间的结构定理. 相似文献
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令S(P)为E-反演P-半群.本文用核与迹研究了S(P)上的强P-同余.证明了S(P)的任一强P-同余对,可以决定S(P)上的一个强P-同余;反之,S(P)上的任一强P-同余,可以决定S(P)的一个强P-同余对。 相似文献
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刻画了弱P-反演半群S(P)上满足P-trμN=πN的最大的强P-同余;给出了S(P)上的特征核正规系的一种抽象刻画. 相似文献
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令S(P)为P-反演半群,本文借助于P-核正规系来刻画S(P)上的强P-同余,证明了S(P)上的任一正则P-同余可以决定S(P)的一个P-核正规系;反之,S(P)的任一P-核正规系可以决定S(P)上的一个正则P-同余. 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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本文研究了N(2,2,0)代数(S,*,△,0)的E-反演半群.利用N(2,2,0)代数的幂等元,弱逆元,中间单位元的性质和同宇关系,得到了N(2,2,0)代数的半群(S,*)构成E-反演半群的条件及元素α的右伴随非零零因子唯一,且为α的弱逆元等结论,这些结果进一步刻画了N(2,2,0)代数的结构. 相似文献
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In this paper,we first give the concept of weakly P-inversive semigroup S(P).Then we describe the strong P-congruences on S(P)in terms of their P-kernel normal systems.It is proved that there is a bijection between the strong P-congruences and the P-kernel normal systems.Finally,it is also prove that the lattice of strong P-congruences and the lattice of P-kernel normal systems on S(P)are isomorphic. 相似文献
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Let S(P) be a P-inversive semigroup. In this paper we describe the strong P-congruences on S(P) in terms of their P-kernel normal systems. We prove that any strong P-congruence on S(P) can present a P-kernel normal system; conversely any P-kernel normal system of S(P) can determine a strong P-congruence. 相似文献
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A ternary semigroup is a nonempty set together with a ternary multiplication which is associative. Analogous to the theory
of semigroups, a regularity condition on a ternary semigroup is introduced and the properties of regular ternary semigroups
are studied. Associated with a ternary semigroup, a semigroup called the semigroup cover is constructed and its properties
are investigated. 相似文献
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Valdis Laan 《Journal of Pure and Applied Algebra》2011,215(10):2538-2546
In this paper we study Morita contexts for semigroups. We prove a Rees matrix cover connection between strongly Morita equivalent semigroups and investigate how the existence of a unitary Morita semigroup over a given semigroup is related to the existence of a ‘good’ Rees matrix cover of this semigroup. 相似文献
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REN Xueming & SHUM Karping Department of Mathematics Xi''''an University of Architecture Technology Xi''''an China Faculty of Science The Chinese University of Hong Kong Hong Kong China 《中国科学A辑(英文版)》2006,49(8)
The concepts of L*-inverse semigroups and left wreath products of semigroups are introduced. It is shown that the L*-inverse semigroup can be described as the left wreath product of a type A semigroupΓand a left regular band B together with a mapping which maps the semigroupΓinto the endomorphism semigroup End(B). This result generalizes the structure theorem of Yamada for the left inverse semigroups in the class of regular semigroups. We shall also provide a constructed example for the L*-inverse semigroups by using the left wreath products. 相似文献
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L. Descalço 《Journal of Algebra》2008,319(4):1343-1354
We consider the automaticity of subsemigroups of free products of semigroups, proving that subsemigroups of free products, with all generators having length greater than one in the free product, are automatic. As a corollary, we show that if S is a free product of semigroups that are either finite or free, then any finitely generated subsemigroup of S is automatic. In particular, any finitely generated subsemigroup of a free product of finite or monogenic semigroups is automatic. 相似文献