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Abstract: This paper discusses necessary and sufficient conditions on a monoid S, suchthat the class of C-flat left $S$-acts is axiomatisable, where C is the classof all embeddings of right ideals into S of right S-acts. We consider theaxiomatisability of some flatness classes of S-acts, which were previouslydiscussed by Bulman-Fleming and Gould 1 . We present here a more generalprocedure to axiomatise these classes. A similar type of general results havebeen found for S-posets by Gould and Shaheen 10. We have found that there aresome classes of S-acts which are axiomatisable by more than one method. Thishas not been seen before.



Author: Lubna Shaheen

Source: https://arxiv.org/



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