Abstract
A semigroup S with identity is (left) perfect if every unitary left S-system has a projective cover. This is the semigroup analogue of the definition of left perfect rings introduced in (1). The investigation of perfect semigroups was initiated by Isbell (4), who proved that a semigroup is perfect if and only if it satisfies two conditions referred to as conditions A and D.
Publisher
Cambridge University Press (CUP)
Cited by
40 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Perfect monoids with zero and categories of S-acts;Communications in Algebra;2023-02-15
2. Perfection for semigroups;Proceedings of the Edinburgh Mathematical Society;2023-02
3. Flatness properties of acts over semigroups;Categories and General Algebraic Structures with Applications;2021-07-01
4. Morita equivalence of finite semigroups;Semigroup Forum;2021-01-07
5. On covers of acts over monoids with Condition (P');Hacettepe Journal of Mathematics and Statistics;2019-12-31