Perfect monoids with zero and categories of <i>S</i>-acts

نویسندگان

چکیده

In this paper, we study the relationship between two main categories of S-acts for a monoid S with zero from viewpoint existence projective covers. particular, prove that condition all acts have cover holds in category if and only it pointed acts. Furthermore, connected are cyclic they satisfy ascending chain on subacts.

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ژورنال

عنوان ژورنال: Communications in Algebra

سال: 2023

ISSN: ['1532-4125', '0092-7872']

DOI: https://doi.org/10.1080/00927872.2023.2177660