论文标题
一些因素分解的结果
Some Results on Factorization of Monoids
论文作者
论文摘要
研究了单体的因素化。在所谓的下降1 cocyles方面,可以通过两种下分解两种下的下降。对一个因子的一个因子是一个因子是单体的亚组的全面分类。分析了单粒细胞的单体因素化与非亚伯式的共同体之间的关系。给出了一些对单粒素的半导体产品的应用。
Factorizations of monoids are studied. Two necessary and sufficient conditions in terms of so-called descent 1-cocyles for a monoid to be factorized through two submonoids are found. A full classification of those factorizations of a monoid whose one factor is a subgroup of the monoid is obtained. The relationship between monoid factorizations and non-abelian cohomology of monoids is analyzed. Some applications to semi-direct product of monoids are given.