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math.RT2025
Strongly Hopfian and Co-Hopfian Acts over Monoids: Structure and Characterizations
Ali Madanshekaf, Farideh Farsad
In this paper, we introduce and explore new classes of S-acts over a monoid S, namely, strongly Hopfian and strongly co-Hopfian acts, as well as their weaker counterparts, Hopfian…
math.RT2015
Characterization of Pomonoids by Properties of Generators
Setareh Irannezhad, Ali Madanshekaf
The study of flatness properties of ordered monoids acting on posets was initiated by S.M. Fakhruddin in the 1980's. Although there exist many papers which investigate various prop…
math.RT2015
On the Generators in the Category of Actions of Pomonoids on Posets and its Slices
Farideh Farsad, Ali Madanshekaf
Let be a pomonoid, in this paper, {\bf Pos}-, the category of -posets and -poset maps, is considered. First, we characterize some pomonoids on which all projectives in…