Divisible, torsion-free, and act regular generalized act wreath products

被引：0

作者：

Knauer, U ^{[1
]}

机构：

[1] Univ Oldenburg, Dept Math, D-26111 Oldenburg, Germany

来源：

JOURNAL OF ALGEBRA | 2001年 / 241卷 / 02期

关键词：

S-act; wreath product; act wreath product; graph; strong endomorphism; endoproperty; divisible; torsion-free; act-regular;

D O I：

10.1006/jabr.2001.8788

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct generalized act wreath products over wreath products of a monoid with a small: category. This construction generalizes wreath products of acts over wreath products of monoids, arbitrary acts over their endomorphism monoids, and graphs as acts over their monoids of strong endomorphisms. We characterize divisible, torsion-free. and act regular generalized act wreath products and apply the results in particular to prove the respective endoproperties for projective acts. (C) 2001 Academic Press.

引用

页码：592 / 610

页数：19

共 36 条

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