论文标题

行为的阶级

Preenveloping Classes of Acts

论文作者

Hamid, Mohanad Farhan

论文摘要

通过类似于Enochs对模块的定义的定义来定义对单肌的行为的序言。只要它是针对纯属式的关闭的,则在直接产品下关闭时,一类行为被证明是精确的。这些类别的例子包括绝对纯净的,弱的注射和弱的注射p行为。

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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