2020/08/05 by Hamid, Mohanad Farhan
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2008.02245
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.