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arXiv 2008.022452020-08-05math.RA

Preenveloping Classes of Acts

Mohanad Farhan Hamid

英文摘要：

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.

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