共查询到18条相似文献,搜索用时 54 毫秒
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本文研究几类亚交换序半群的性质,并将具有单位元的亚交换序半群的一些结果扩张到这几类亚交换序半群上,使得这些结果更加细化.其中主要证明了以下定理伪交换序半群可以分解成阿基米德序半群的半格.并且,一般来说,这种分解不是唯一的. 相似文献
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弱交换富足序半群(Ⅰ) 总被引:5,自引:0,他引:5
本文将序半群上的 Green’s-关系推广为 Green’s*一关系.给出主序(左、右)*-理想、主序*-滤特征描述和弱交换富足序半群的特征.用这些特征证明了一类弱交换富足序半群的结构定理:若序半群S满足 ,则S是弱交换富足序半群当且仅当S是左(右)单序半群{(e)(S)}的半格. 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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NioviKehayopulu和Michael Tsingelis于2003年给出了关于序半群的理想扩张的一个定理,本文利用该定理进一步给出了弱可约序半群的理想扩张的构造. 相似文献
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关于弱交换PO—半群 总被引:1,自引:1,他引:0
在本文中我们引入弱交换PO-半群的概念,并研究这类半群到其Archimedes子半群的半格分解,给出这类半群似于无序半群的相应结果的一个刻画。作为推论,我们得到弱交换POe-群和无序半群的相应刻画。 相似文献
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设含幺交换环R对其乘法子集T的分式环为RT,交换幺半群S在其子半群∑处局部化为S∑本文证明了R[S]对于A的分环式环R[S]AM 构于半群环RT[S∑]。 相似文献
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关于弱交换po-半群 总被引:4,自引:0,他引:4
在本文中我们引入弱交换po-半群的概念,并研究这类半群到其Archimedes子半群的半格分解,给出了这类半群类似于无序半群相应结果的一个刻画。作为推论,我们得到弱交换poe-群和无序半群的相应刻画。 相似文献
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Yonglin Cao 《Semigroup Forum》1999,58(3):386-394
In this paper, concepts of left (right) weakly commutative po-semigroups and r (l or t)-archimedean subsemigroups of a po-semigroup are introduced. Six relations τ, σ, η, ρ, μ, ξ on a po-semigroup are defined. By using them, filters and radicals, fourteen necessary and sufficient conditions in order that a po-semigroup is a semilattice of archimedean subsemigroups are given. The facts that a left weakly commutative (right weakly commutative or weakly commutative) po-semigroup is a semilattice of r (l or t) -archimedean subsemigroups are proved and seven characterizations of these po-semigroups are obtained respectively. 相似文献
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In this paper, we generalize the concepts of (intra-, left, right, completely) π-regular semigroups without order to po-semigroups and discuss characterizations and relationships concerning them. Moreover, we introduce the concepts of nil-extensions of po-semigroups first, then consider properties and characterizations of po-semigroups which are nil-extensions of (left, rightt-) simple (π-regular) po-semigroups and complete semilattices of this class of po-semigroups. 相似文献
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Zhenlin Gao 《Semigroup Forum》1998,56(3):323-333
n on po-semigroups. We study the least property of (ordered) semilattice congruences, and prove:
1. N is the least ordered semilattice congruence on pr-semigroups (cf.[1]).
2. n is the least semilattice congruence on po-semigroups.
3. N is not the least semilattice congruence on po-semigroups in general.
Thus, we give a complete solution to the problem posed by N. Kehayopulu in [1]. 相似文献
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Using multiplication algebras we introduce actor crossed modules of commutative algebras and use it to generalise some aspects from commutative algebras to crossed modules of commutative algebras. This is applied to the Peiffer pairings in the Moore complex of a simplicial commutative algebra. 相似文献
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In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their fundamental matrices. After that we investigate commutative quaternion matrices using properties of complex matrices. Then we define the complex adjoint matrix of commutative quaternion matrices and give some of their properties. 相似文献
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Robert S. Coulter Marie Henderson Pamela Kosick 《Designs, Codes and Cryptography》2007,44(1-3):275-286
We consider the implications of the equivalence of commutative semifields of odd order and planar Dembowski-Ostrom polynomials. This equivalence was outlined recently by Coulter and Henderson. In particular, following a more general statement concerning semifields we identify a form of planar Dembowski-Ostrom polynomial which must define a commutative semifield with the nuclei specified. Since any strong isotopy class of commutative semifields must contain at least one example of a commutative semifield described by such a planar polynomial, to classify commutative semifields it is enough to classify planar Dembowski-Ostrom polynomials of this form and determine when they describe non-isotopic commutative semifields. We prove several results along these lines. We end by introducing a new commutative semifield of order 38 with left nucleus of order 3 and middle nucleus of order 32. 相似文献