共查询到20条相似文献,搜索用时 609 毫秒
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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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在空间Lp(Rn),1≤p<∞中,Poison算子半群e--△z是右半平面Rez>0上的解析半群.本文考虑它的边界值,证明了闭稠定算子-i-△对某个α≥0生成了一个指数有界(I+-△)-α 半群. 相似文献
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乔占科 《纯粹数学与应用数学》1995,(1)
本文分别给出П正则半群的幂等元同余类和Пorthodox半群[1]的幂等元同余类的П正则性刻画.其次,证明П逆半群或完全П正则半群S的幂等元同余类是S的П正则子半群.最后讨论orthodox半群的幂等元同合类的正则性. 相似文献
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根据非游荡算子半群的定义得到了非游荡算子半群的几个性质,给出了判定算子半群是非游荡半群的标准,应用给出的标准,在空间C([0,1],C)上讨论了偏微分方程au/at=γx(au/ax)+h(x)u,u(0,x)=f(x)的解半群的性质. 相似文献
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Recep Korkmaz 《Semigroup Forum》2009,78(3):528-535
In this paper we study dense inverse subsemigroups of topological inverse semigroups. We construct a topological inverse semigroup
from a semilattice. Finally, we give two examples of the closure of B
( −∞, ∞ )1, a topological inverse semigroup obtained by starting with the real numbers as a semilattice with the operation a
∨
b=sup{a,b}.
The author would like to thank to the referee for useful suggestions. 相似文献
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引入了0-恰当半群的概念,它是一种特殊的逆半群.给出了0-恰当半群的等价刻划.讨论具有幂等半格的右0-恰当半群上含于(够)0的最大同余关系μL和具有幂等半格的0-恰当半群上含于(形)0的最大同余关系μ.证明如果S是一个具有幂等半格E的右0-A型半群,则S/μL≌E当且仅当S是一个S0左逆的左消含幺半群的强半格.进一步证明了,如果S是一个具有幂等半格E的0-恰当半群,则S/μ≌E当且仅当S是一个S0逆的消去含幺半群的强半格. 相似文献
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陈露 《纯粹数学与应用数学》2009,25(1):102-106
在半群上引入i-v Fuzzy理想的概念.研究了半群的i-v Fuzzy理想的若干性质,特别是给出了半群的i-v Fuzzy子集成为理想的若干特征性质. 相似文献
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设e是集中Ω上的全变换半群TΩ的一个幂等元,X是e的像集,G是X上的对称群Sx的子群,本文给出一种方法,通过e把G扩张成TΩ的一个纯正子半群(orthodox)。 相似文献
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In this article, the approximate amenability of semigroup algebra ?1(S) is investigated, where (S) is a uniformly locally finite inverse semigroup. Indeed, we show that for a uniformly locally finite inverse semigroup (S), the notions of amenability, approximate amenability and bounded approximate amenability of ?1(S) are equivalent. We use this to give a direct proof of the approximate amenability of ?1(S) for a Brandt semigroup (S). Moreover, we characterize the approximate amenability of ?1(S), where S is a uniformly locally finite band semigroup. 相似文献
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Let R be an associative ring with unit, let S be a semigroup with zero, and let RS be a contracted semigroup ring. It is proved that if RS is radical in the sense of Jacobson and if the element 1 has infinite additive order, then S is a locally finite nilsemigroup. Further, for any semigroup S, there is a semigroup T S such that the ring RT is radical in the Brown--McCoy sense. Let S be the semigroup of subwords of the sequence abbabaabbaababbab..., and let F be the two-element field. Then the ring FS is radical in the Brown--McCoy sense and semisimple in the Jacobson sense. 相似文献
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The so-called split IC quasi-adequate semigroups are in the class of idempotent-connected quasi-adequate semigroups. It is
proved that an IC quasi-adequate semigroup is split if and only if it has an adequate transversal. The structure of such semigroup
whose band of idempotents is regular will be particularly investigated. Our obtained results enrich those results given by
McAlister and Blyth on split orthodox semigroups. 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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If S is a semigroup, the global (or the power semigroup) of S is the set P(S) of all nonempty subsets of S equipped with a naturally defined multiplication. A class K of semigroups is globally determined if any two semigroups of K with isomorphic globals are themselves isomorphic. We study properties of globals of idempotent semigroups and show, in particular, that the class of normal bands is globally determined. 相似文献
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ABSTRACT The investigation of regular F-abundant semigroups is initiated. In fact, F-abundant semigroups are generalizations of regular cryptogroups in the class of abundant semigroups. After obtaining some properties of such semigroups, the construction theorem of the class of regular F-abundant semigroups is obtained. In addition, we also prove that a regular F-abundant semigroup is embeddable into a semidirect product of a regular band by a cancellative monoid. Our result is an analogue of that of Gomes and Gould on weakly ample semigroups, and also extends an earlier result of O'Carroll on F-inverse semigroups. 相似文献