共查询到18条相似文献,搜索用时 62 毫秒
1.
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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强P-正则半群上的最小正则*-半群同余 总被引:2,自引:2,他引:0
陈迪三 《纯粹数学与应用数学》2009,25(1):142-144
主要研究了强P-正则半群S(P)上的最小正则*-半群同余.利用S(P)的正则*-断面S°得到S(P)上最小正则*-半群同余的简单形式γP.由于S(P)/γP同构于S°,实质上S°是S(P)的最大正则*-半群同态象,且S(P)的正则*-断面不唯一,但从同意义上看正则*-断面唯一. 相似文献
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陈迪三 《纯粹数学与应用数学》2009,25(1)
主要研究了强P-正则半群S(P)上的最小正则*-半群同余.利用S(P)的正则*-断面S°得到S(P)上最小正则*-半群同余的简单形式γP·由于S(P)/γp同构于S°,实质上S°是S(P)的最大正则*-半群同态象,且S(P)的正则*-断面不唯一,但从同意义上看正则*-断面唯一. 相似文献
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求证具有强半格结构的完全正则半群成为P-完全正则半群的充分条件.利用半群的强半格结构以及同余的性质.完全单半群的强半格-正规群带是P-完全正则半群.矩形群的强半格正规纯正群类ONBG,左群的强半格左正规纯整群类LONBG,群的强半格Clifford半群类,矩形带的强半格正规带类NB,都具有性质P. 相似文献
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进一步研究了正则交半群,引入了纯下在交半群的概念,分别给出了完全正则半群为正则交半群与正交半群的刻划。 相似文献
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拟正则半群上的两个完全正则同余相等当且仅当它们的核正规系相同。更进一步地,我们还可建立一个从一个拟正半群上的全体完全正则同余的集合到这个半群的所有完全正则核正规系的集合上的双射。 相似文献
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1973年,T.E.Hall 证明了:“若正则半群 S 的每个(?)-类最多只含 m(一固定正整数)个(?)-类,则对 S 的任元 a,a~m 在 S 的子群中.”本文将该定理推广到拟正则半群上,即证明了:“若拟正则半群 S 的每个正则(?)-类最多只含m(一固定正整数)个(?)-类,则对 S 的任元 a,a~(mn)在 S 的子群中,其中 n 为 a~m的正则指数.” 相似文献
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具有拟理想正则*-断面的正则半群 总被引:4,自引:1,他引:3
本文提出了具有正则*-断面正则半群的概念,所给出的例子表明具有拟理想正则*-断面的正则半群类真包含了具有拟理想逆断面的正则半群类和正则*-半群类;最后刻画了具有拟理想正则*-断面的正则半群的结构. 相似文献
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P-正则半群的双序集 总被引:1,自引:0,他引:1
本文刻划了双序集E为某P-正则半群的幂等元双序集的充要条件.所得定理不仅推广了D.Easdown关于带的双序集的结论,而且导出了正则*-半群的幂等元双序集的一个刻划.进而还对P-正则半群的若干特殊情形及向非正则半群的推广进行了讨论. 相似文献
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P-正则半群的双序集 总被引:1,自引:0,他引:1
本文刻划了双序集E为某P-正则半群的幂等元双序集的充要条件.所得定理不仅推广了D.Easdown关于带的双序集的结论,而且导出了正则*-半群的幂等元双序集的一个刻划.进而还对P-正则半群的若干特殊情形及向非正则半群的推广进行了讨论. 相似文献
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Zhi-Hao Cao 《Numerische Mathematik》2001,88(4):603-606
Summary. Recently, Benzi and Szyld have published an important paper [1] concerning the existence and uniqueness of splittings for
singular matrices. However, the assertion in Theorem 3.9 on the inheriting property of P-regular splitting for singular symmetric
positive semidefinite matrices seems to be incorrect. As a complement of paper [1], in this short note we point out that if
a matrix T is resulted from a P-regular splitting of a symmetric positive semidefinite matrix A, then splittings induced by T are not all P-regular.
Received January 7, 1999 / Published online December 19, 2000 相似文献
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Yongzhong Song 《Numerische Mathematik》2002,92(3):563-591
Summary. This paper investigates the comparisons of asymptotic rates of convergence of two iteration matrices. On the basis of nonnegative
matrix theory, comparisons between two nonnegative splittings and between two parallel multisplitting methods are derived.
When the coefficient matrix A is Hermitian positive (semi)definite, comparison theorems about two P-regular splittings and
two parallel multisplitting methods are proved.
Received April 4, 1998 / Revised version received October 18, 1999 / Published online November 15, 2001 相似文献
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A filter in a semigroup is a subsemigroup whose complement is an ideal. (Alternatively, in a quasiordered semigroup, a slightly more general definition can be given.) We prove a number of results related to filters in a semigroup and the lattice of filters of a semigroup. For instance, we prove that every complete algebraic lattice can be the lattice of filters of a semigroup. We prove that every finite semigroup is a homomorphic image of a finite semigroup whose lattice of filters is boolean and which belongs to the pseudovariety generated by the original semigroup. We describe filter lattices of some well-known semigroups such as full transformation semigroups of finite sets (which are three-element chains) and free semigroups (which are boolean). 相似文献
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The main result of the paper is a structure theorem concerning the ideal extensions of archimedean ordered semigroups. We
prove that an archimedean ordered semigroup which contains an idempotent is an ideal extension of a simple ordered semigroup
containing an idempotent by a nil ordered semigroup. Conversely, if an ordered semigroup S is an ideal extension of a simple ordered semigroup by a nil ordered semigroup, then S is archimedean. As a consequence, an ordered semigroup is archimedean and contains an idempotent if and only if it is an
ideal extension of a simple ordered semigroup containing an idempotent by a nil ordered semigroup. 相似文献
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On the infinite semigroup of matrix units
there exists no semigroup compact [countably compact] topology.
Any continuous homomorphism from the infinite topological
semigroup of matrix units into a compact topological semigroup is
annihilating. The semigroup of matrix units is algebraically
h-closed in the class of topological inverse semigroups. Some
H-closed minimal semigroup topologies on the infinite semigroup
of matrix units are considered. 相似文献