Title of article
Divisible, Torsion-Free, and Act Regular Generalized Act Wreath Products
Author/Authors
Ulrich Knauer، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
19
From page
592
To page
610
Abstract
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.
Keywords
S-act , Wreath product , act wreath product , strong endomorphism , graph , endoproperty , divisible , torsion-free , act-regular
Journal title
Journal of Algebra
Serial Year
2001
Journal title
Journal of Algebra
Record number
695516
Link To Document