COVERS FOR S-ACTS AND CONDITION (A) FOR A MONOID S

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Covers for S-acts and Condition (a) for a Monoid S

A monoid S satisfies Condition (A) if every locally cyclic left S-act is cyclic. This condition first arose in Isbell’s work on left perfect monoids, that is, monoids such that every left S-act has a projective cover. Isbell showed that S is left perfect if and only if every cyclic left S-act has a projective cover and Condition (A) holds. Fountain built on Isbell’s work to show that S is left ...

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ژورنال

عنوان ژورنال: Glasgow Mathematical Journal

سال: 2014

ISSN: 0017-0895,1469-509X

DOI: 10.1017/s0017089514000317