论文标题
行为的阶级
Preenveloping Classes of Acts
论文作者
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.