共查询到20条相似文献,搜索用时 109 毫秒
1.
研究了完全正则半环的特征.利用半群的方法,得到了当分配半环的乘法幂等元集分别是左零带、矩形带以及正规带时,该类半环成为完全正则半环的等价刻画,推广并改进了相关文献的主要结果. 相似文献
2.
研究了加法半群为半格的半环类S+l中的乘法带半环和矩形带半环类BR中的乘法带半环;给出了ID半环中乘法带半环的结构定理,即ID∩.■°D=.■z∨.■z∨D. 相似文献
3.
环并半环称为纯整环并半环, 若其加法幂等元集是一个带半环. 若纯整环并半环的加法幂等元集是一个T带半环, 称为$T$纯整环并半环. 研究了纯整环并半环以及一些$T$纯整环并半环的半群结构. 相似文献
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研究了加法半群是带,乘法半群是完全正则半群的半环上的格林关系,给出了˙L∧+D(+L,+R)是同余关系的充分必要条件,证明了由这些同余关系所决定的半环类都是半环簇,并给出了这些半环簇的Mal′cev积分解. 相似文献
6.
研究了加法半群为半格,乘法半群为左正规纯正群的半环.证明了此类半环(S,+,.)可以嵌入到半格(S,+)的自同态半环中.构造S的一个特定的偏序关系,得到了(S,·)上的自然偏序与所构造偏序相等的等价条件. 相似文献
7.
首先给出了由半环的乘法半群上的格林关系所确定的半环开同余的性质和刻画.其次,由开同余出发,得到了六个不同的半环类,并证明了这六个半环类均是半环簇.最后,对半环簇的子簇格上的开算子进行了探讨,得到了一些有趣的结果. 相似文献
8.
练利锋 《纯粹数学与应用数学》2018,(1):81-85
首先给出了加法半群是带,乘法半群是完全正则半群的半环上的格林关系所确定的开同余的刻画,并对其相关性质做了一定的探讨,最后证明了CR(n,1)中半环上的S/L°,S/R°分别是左、右约简的. 相似文献
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乔占科 《纯粹数学与应用数学》2009,25(3):475-477
在半环中引入了一类理想的概念,讨论了这类理想的性质,并研究了一类广义正则半环上的同余,给出了这类半环上一种半环同余的特征. 相似文献
11.
本文研究了半群半直积的主投影性质.利用适当半群,获得了右主投影半群半直积的充分和必要条件,推广了半直积的一些结果. 相似文献
12.
Přemysl Jedlička 《Algebra Universalis》2007,57(3):259-272
The semidirect product of lattices is a lattice analogue of the semidirect product of groups. In this article we introduce
this construction, show some basic facts and study a class of lattices closed under semidirect products. We also generalise
this notion presenting the semidirect product of semilattices.
Received February 22, 2005; accepted in final form August 29, 2006. 相似文献
13.
研究了幺半群半直积上的同余,给出了幺半群半直积的所谓同余分解定理,并特别讨论了幺半群左正则纯整半直积及其子类上的同余. 相似文献
14.
B.W. Wetherilt 《Fuzzy Sets and Systems》1985,16(3):237-242
The semidirect product of two groups is an important construction in group theory. In this paper we define the semidirect product of fuzzy subgroups and give conditions for it to be a fuzzy subgroup. This extends the work of H. Sherwood on direct products of fuzzy subgroups. We then give an example where a fuzzy subgroup of a semidirect product is a semidirect product of fuzzy subgroups. 相似文献
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给出了两个幺半群的半直积及圈积为右(左)逆半群的充分必要条件,从而推广了[2]中两个幺半群的半幺直积和圈积为逆半群的充分必要条件. 相似文献
16.
从泊松作用的角度考察了群胚上的半直积结构,定义了泊松群胚对泊松群胚的泊松作用,讨论了其性质,并证明了两个泊松群胚的半直积仍是泊松群胚,从而对群胚的半直积结构有了更多的认识. 相似文献
17.
Miklos Hartmann 《Semigroup Forum》2007,74(1):106-124
In this paper, we investigate idempotent separating and arbitrary homomorphic images of semidirect products of bands by groups.
We give characterizations for idempotent separating homomorphic images of semidirect products, and show that the class of
all idempotent separating homomorphic images is strictly contained in the class of all homomorphic images. Furthermore, we
give a characterization of all homomorphic images. 相似文献
18.
V. M. Usenko 《Ukrainian Mathematical Journal》1991,43(7-8):982-988
The notion of a reduced crossed homomorphism is introduced and subgroups of a semidirect product are described by means of it. Subsemidirect products and semidirect products with a given structure of normal subgroups are characterized.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp. 1048–1055, July–August, 1991. 相似文献
19.
Benjamin Steinberg 《Semigroup Forum》2001,63(3):281-304
This paper shows that, for a pseudovariety V of monoids, V * D has decidable pointlikes if and only if V does. In the process,
we develop a theory of pointlike sets for categories and a generalization of the Derived Category Theorem to understand how
pointlike sets behave with respect to the semidirect product. This paper is intended to be the first of two papers concerning
algorithmic problems for semidirect products of pseudovarieties. 相似文献
20.
The notion of hyperdecidability has been introduced as a tool which is particularly suited for granting decidability of semidirect products. It is shown in this paper that the semidirect product of an hyperdecidable pseudovariety with a pseudovariety whose finitely generated free objects are finite and effectively computable is again hyperdecidable. As instances of this result, one obtains, for example, the hyperdecidability of the pseudovarieties of ail finite completely simple semigroups and of all finite bands of left groups. 相似文献