共查询到19条相似文献,搜索用时 125 毫秒
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推广了半群的强半格分解的定义,得到了半群的拟强半格分解,并证明了完全正则半群为群 的正则(或右拟正规)带当且仅当它是完全单半群的拟强半格(且 )). 相似文献
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本文先证明了正则orthocryptou半群关于矩形单幂幺半群的加细半格分解是唯一的,在此基础上,给出了任意两个正则orthocryptou半群之间好同态的刻画. 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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一类阿基米德半群的构造及其同余格 总被引:4,自引:0,他引:4
本文引入同底的π-左、右零半群的夹群积并用来刻划带本原幂等元的阿基米德半群的构造.文中讨论了有限阶阿基米德半群的同余格,并证明了当有限阶阿基米德半群的正则R,L类的个数不超过5时,它的同余格是半模格. 相似文献
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半群上Rees矩阵半群的半格的结构 总被引:1,自引:0,他引:1
曹永林 《纯粹数学与应用数学》1998,(2)
推广了M.Petrich在文[1]中所用的方法,得到了幺半群上Rees矩阵半群的半格的一个结构定理.研究了单幂幺半群上Rees矩阵半群的半格的性质并给出了矩形单幂幺半群的半格的若干等价刻划. 相似文献
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幺半群上的Rees矩阵半群的半格的结构 总被引:1,自引:0,他引:1
曹永林 《纯粹数学与应用数学》1998,14(2):28-32
推广了M.Petrich在文「1」中所用的方法,得到了幺半群上Rees矩阵半群的半格的一个结构定理,研究了单幂幺半群Rees矩阵半群的半格的性质并给出了矩形单幂幺半群的半格的若干等价刻划。 相似文献
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Brett McElwee 《Order》2001,18(2):137-149
The map which takes an element of an ordered set to its principal ideal is a natural embedding of that ordered set into its powerset, a semilattice. If attention is restricted to all finite intersections of the principal ideals of the original ordered set, then an embedding into a much smaller semilattice is obtained. In this paper the question is answered of when this construction is, in a certain arrow-theoretic sense, minimal. Specifically, a characterisation is given, in terms of ideals and filters, of those ordered sets which admit a so-called minimal embedding into a semilattice. Similarly, a candidate maximal semilattice on an ordered set can be constructed from the principal filters of its elements. A characterisation of those ordered sets that extend to a maximal semilattice is given. Finally, the notion of a free semilattice on an ordered set is given, and it is shown that the candidate maximal semilattice in the embedding-theoretic sense is the free object. 相似文献
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本文研究了左$C$-wrpp半群的加细半格结构,证明了左$C$-wrpp半群是左-${\cal R}$可消带的加细半格当且仅当它是一个$C$-wrpp半群和一个左正则带的织积. 相似文献
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The structure of left C-rpp semigroups 总被引:21,自引:0,他引:21
This paper studies the class of left Clifford-rpp semigroups and investigates the structure of their semi-spined products
and semilattice decompositions. These semigroups are generalizations of left Clifford semigroups and Clifford-rpp semigroups.
We also discuss some special cases such as when a semilattice decomposition becomes a strong semilattice decomposition and
a semi-spined product becomes a spined product.
Communicated by Boris Schein
This research is jointly supported by a grant of National Natural Science Foundation of China and a small project grant #200.600.380
of CUHK. 相似文献
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Olena Hryniv 《Semigroup Forum》2007,75(3):682-688
We construct universal objects in various classes of Clifford topological inverse semigroups. In particular, we show that
each compact Abelian topological inverse semigroup with Lawson maximal semilattice embeds into a power of the cone over the
circle. 相似文献
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We study the semilattice composition of ordered semigroups (a concept opposite to that of the semilattice decomposition),
using the ideal extensions.
The text was submitted by the authors in English. 相似文献
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Mohan S. Putcha 《Semigroup Forum》1973,6(1):12-34
The purpose of this paper is to develop a general theory of semilattice decompositions of semigroups from the point of view
of obtaining theorems of the type: A semigroup S has propertyD if and only if S is a semilattice of semigroups having property β. As such we are able to extend the theories of Clifford
[3], Andersen [1], Croisot [5], Tamura and Kimura [14], Petrich [9], Chrislock [2], Tamura and Shafer [15], Iyengar [7] and
Weissglass and the author [10]. The root of our whole theory is Tamura's semilattice decomposition theorem [12, 13]. Of this,
we give a new proof.
The results of this paper were obtained by the author between January and July of 1971, while an undergraduate at the University
of California, Santa Barbara. 相似文献
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将Green关系推广到Green~-关系。给出了密码^ ~ H-富足半群的半格分解,利用此分解,证明了^ ~ H-富足半群为正规密码^H-富足半群当且仅当它是完全^ ~ H-单半群的强半格. 相似文献