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1.
设S是半群,S↑^是S↑^上所有一一偏的右平移构成的逆半群。在本文中证明了,对Clifford半群S=[Y;Gα,φα,β],S↑^≌lim{Gα}α∈Y,而对Brandt半群S=B(G,I),S↑^≌GwrJ(I)。 相似文献
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设F是可解的,子群闭的,由{f(P)}所局部定义的群系,Fp是由{f(q)}定义的p-局部定义群系.N为幂零群系.本文证明了:1)设F满足:任一群属于F,当且仅当,对每p.其p-Sylow-正规化子属于Fp.于是“群G∈N.F(幂零由F的扩张)的充要条件是,对每P,其p-Sylow-正规化子的Fp剩余次正规于G内.2)群G为超可解的充要条件是,对每p,其p-Sylow-正规化子为p-超可解,且其幂零剩余次正规于G内.若对每p,群G的p-Sylow子群无商群与p2-次对称群的p-Sylow子群同构,则称G为B-群.3)设G为B-群,又群系F含于σ-Sylow塔群系内.于是①G∈F,当且仅当,对每p,G的p-Sylow-正规化属于Fp;②G∈N·F,当且仅当,对每p,G的p-Sylow-正规化子的Fp剩余在G内次正规. 相似文献
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本文讨论所有循环平坦系满足条件(P)的幺半群的“元素--理想”特征问题,该问题至今仍未获解决,在S是左PSF幺半群的条件下,本文证明了所有循环平坦右S-系满足条件(P)当且仅当S的任意元x或者是右可消元,或者是右零元,当且仅当对S的任意真右理想I,或存在a∈I-Ia,或I中的所有元素均为右零元,该结果改进并推广了「4」、「7」、「8」、「15」中的部分结果。 相似文献
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阿贝尔群的完整子半群的若干结果 总被引:3,自引:0,他引:3
本文证明了无扭阿贝尔群G是唯一线性序的,当且仅当G的每一个完整子半群只含唯一的极小完整子半群。若群G的每一个完整子半群只含有限多个极小完整子半群,则G中所有完整子半群组成的集T(G)满足DCC。 相似文献
5.
设S是半群,S是S上所有一一偏的右平移构成的逆半群.在本文中证明了,对Cliford半群S=[Y;Gα,φα,β],Simlim{Gα}α∈Y,而对Brandt半群S=B(G,I),SGwrJ(I). 相似文献
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本文考虑了(E(S))-由正则Г-半群S的幂等元生成的子Г-半群,着重研究了〈E(S)〉和S之间的关系,讨论了〈E(S)〉=S的情形。 相似文献
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非幂零极大子群指数为素数幂的有限群 总被引:7,自引:0,他引:7
郭秀云 《数学年刊A辑(中文版)》1994,(6)
本文证明了如下结果,1.设p是一个素数,如果有限群G的每一非幂零的极大子群的指数都为p的方幂,则G为可解群.2.如果有限群G的每一非幂零的极大子群的指数为素数幂,则G/S(G)1或PSL(2,7),其中S(G)表示G的最大可解正规子群. 相似文献
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证明了正则半群S在其幂等元素E(S)所生成的子半群<E(S)>上的局部化在同构意义下存在惟一,其为其最大群同态象,同时也给出了其最小群同余。 相似文献
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祝清顺 《纯粹数学与应用数学》1997,13(2):68-73
推广正则半群中的双理想到po-半群之中,利用po-半群中的双理想研究了正则poe-半群、内正则poe-半群。得到了如下主要结果:①S为正则duo的充要条件是:B(ab)=B(a)∩B(b),A↓a、b∈S;②S正则duo的充要条件为S为B-单序半群的半格;③S内正则的充要条件为:R∩B∩L包含于(LBR];④S正则且内正则的充要条件为:R∩B∩L包含于(BRL]。 相似文献
11.
We consider semigroup S of a rank 1 valuation ? centered on a local ring R. We show that the Hilbert polynomial of R gives a bound on the growth of the valuation semigroup S. This allows us to give a very simple example of a well ordered subsemigroup of Q+, which is not a value semigroup of a local domain. We also consider the rates of growth which are possible for S. We show that quite exotic behavior can occur. In the final section, we consider the general question of characterizing rank 1 value semigroups. 相似文献
12.
Karin Cvetko-Vah Damjana Kokol Bukovšek Tomaž Košir Ganna Kudryavtseva Yaroslav Lavrenyuk Andriy Oliynyk 《Semigroup Forum》2009,78(1):138-147
We initiate the study of semitransitive transformation semigroups. In the paper we describe the structure of semitransitive
subsemigroups of the finite symmetric inverse semigroup of the minimal cardinality modulo the classification of transitive
subgroups of the minimal cardinality of finite symmetric groups, and state the results on minimal transitive subsemigroups.
The authors were supported in part by Ukrainian-Slovenian bilateral research grants from the Ministry of Education and Science,
Ukraine, and the Research Agency of the Republic of Slovenia. 相似文献
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Yasushi Gomi 《代数通讯》2013,41(1):123-138
The purpose of this paper is to calculate all the character tables of Hecke algebras associated with exceptional Weyl groups and their maximal parabolic subgroups when they are commutative. In the case when Weyl groups are of classical type, they are already known in [D.1] and [D.2]. In §1, we discuss the structure of Hecke algebras and in §2, we calculate all the character tables of these commutative Hecke algebras associated with exceptional Weyl groups. 相似文献
15.
We study two-dimensional irreducible projective smooth algebraic semigroups. Minimal surface semigroups with Kodaira dimension at most one are partially classified. We also calculate the local dimension of the moduli scheme parameterizing all algebraic semigroup laws on a fixed minimal surface. 相似文献
16.
OnthePropertiesoftheSolutionofaStronglyDegenerateParabolicEquationChengFuxia(DepartmentofAppliedMathematics,TsinghuaUniversit... 相似文献
17.
设R是一个局部环,A是一个可相似对角化的n阶矩阵.利用矩阵方法研究了环R上矩阵A的广义逆半群的子集,得到了其做成正规子群的条件和其中元素可逆的条件,也得到了矩阵广义逆半群的一些性质. 相似文献
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本文得到了曲率维数条件CD(ρ,∞) 和CD(0, n)与相应的局部传输信息不等式的等价性. 相似文献
20.
Peter R. Jones 《代数通讯》2017,45(3):1037-1056
The variety of restriction semigroups may be most simply described as that generated from inverse semigroups (S, ·, ?1) by forgetting the inverse operation and retaining the two operations x+ = xx?1 and x* = x?1x. The subvariety B of strict restriction semigroups is that generated by the Brandt semigroups. At the top of its lattice of subvarieties are the two intervals [B2, B2M = B] and [B0, B0M]. Here, B2 and B0 are, respectively, generated by the five-element Brandt semigroup and that obtained by removing one of its nonidempotents. The other two varieties are their joins with the variety of all monoids. It is shown here that the interval [B2, B] is isomorphic to the lattice of varieties of categories, as introduced by Tilson in a seminal paper on this topic. Important concepts, such as the local and global varieties associated with monoids, are readily identified under this isomorphism. Two of Tilson's major theorems have natural interpretations and application to the interval [B2, B] and, with modification, to the interval [B0, B0M] that lies below it. Further exploration may lead to applications in the reverse direction. 相似文献