Preenveloping Classes of Acts
Rings and Algebras
2020-08-06 v1
Abstract
Preenvelopes of acts over a monoid are defined by analogy with Enochs' definition of preenvelopes of modules. Provided that it is closed for pure subacts, a class of acts is shown to be preenveloping precisely when it is closed under direct products. Examples of such classes include absolutely pure, weakly f-injective and weakly p-injective acts.
Cite
@article{arxiv.2008.02245,
title = {Preenveloping Classes of Acts},
author = {Mohanad Farhan Hamid},
journal= {arXiv preprint arXiv:2008.02245},
year = {2020}
}