共查询到20条相似文献,搜索用时 78 毫秒
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本文考虑全正则子半群构成链的正则半群,得到了正则半群具有全正则子半群构成链的一个充分必要条件,这推广了Jones关于具有全正则子半群构成链的逆半群的结果.特别地,建立了具有全正则子半群构成链的完全0-单半群的结构. 相似文献
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本文给出了带上满足某些条件的严格纯正半群的一些特征,利用带来刻划半群。由半群的矩阵分解,得到了严格纯正半群的一些好的性质 相似文献
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半群S称为rpp半群,若它的所有L~*类都含幂等元.rpp半群S称为C-rpp半群,若它的幂等元集含于S的中心.这里利用半群上fuzzy同余的概念,引入了rpp半群上fuzzy左好同余的定义并得到了它的一些性质,给出了此类半群的刻画,并对具有某种特性的rpp半群(如强rpp半群和完备rpp)作了讨论.最后,得到了一类rpp半群为完备rpp半群的充要条件.以上结论是对Fountain关于rpp半群研究结果的推广和补充. 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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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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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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设A是代数闭域k上的一个具乘基B的有限维含幺结合代数,称半群B∪{0}为A的基半群.本文给出了0 J 严格单半群的定义.对于基半群为0 J 严格单半群的零直并的代数,完全研究了它的代数表示型 相似文献
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Mohammed Ali Faya Ibrahim 《Czechoslovak Mathematical Journal》2004,54(2):303-313
It was shown in [7] that any right reversible, cancellative ordered semigroup can be embedded into an ordered group and as a consequence, it was shown that a commutative ordered semigroup can be embedded into an ordered group if and only if it is cancellative. In this paper we introduce the concept of L-maher and R-maher semigroups and use a technique similar to that used in [7] to show that any left reversible cancellative ordered L or R-maher semigroup can be embedded into an ordered group. 相似文献
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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 semigroup Γ and a left regular band B together with a mapping which maps the semigroup Γ into 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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Gracinda M. S. Gomes 《Acta Mathematica Hungarica》2005,109(1-2):33-51
Summary We consider proper (idempotent pure) extensions of weakly left ample semigroups. These are extensions that are injective in
each <InlineEquation ID=IE"1"><EquationSource Format="TEX"><![CDATA[<InlineEquation ID=IE"2"><EquationSource Format="TEX"><![CDATA[$]]></EquationSource></InlineEquation>]]></EquationSource></InlineEquation>\widetilde{\mathcal{R}}$-class.
A graph expansion of a weakly left ample semigroup S is shown to be such an extension of S. Using semigroupoids acted upon by weakly left ample semigroups, we prove that any weakly left ample semigroup which is a
proper extension of another such semigroup T is (2,1)-embeddable into a λ-semidirect product of a semilattice by T. Some known results, by O'Carroll, for idempotent pure extensions of inverse semigroups and, by Billhardt, for proper extensions
of left ample semigroups follow from this more general situation. 相似文献
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A semigroup is regular if it contains at least one idempotent in each ?-class and in each ?-class. A regular semigroup is inverse if it satisfies either of the following equivalent conditions: (i) there is a unique idempotent in each ?-class and in each ?-class, or (ii) the idempotents commute. Analogously, a semigroup is abundant if it contains at least one idempotent in each ?*-class and in each ?*-class. An abundant semigroup is adequate if its idempotents commute. In adequate semigroups, there is a unique idempotent in each ?* and ?*-class. M. Kambites raised the question of the converse: in a finite abundant semigroup such that there is a unique idempotent in each ?* and ?*-class, must the idempotents commute? In this note, we provide a negative answer to this question. 相似文献
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It is known that a C–rpp semigroup can be described as a strong
semilattice of left cancellative monoids. In this paper, we
introduce the class of left C–wrpp semigroups which includes the
class of left C–rpp semigroups as a subclass. We shall
particularly show that the semi-spined product of a left regular
band and a C–wrpp semigroup forms a curler which is a left
C–wrpp semigroup and vice versa. Results obtained by Fountain
and Tang on C–rpp semigroups are extended and strengthened. 相似文献