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math.GR2022
On Hopfian(co-Hopfian) and Fitting S-acts (I)
Mohammad Roueentan, Roghaieh Khosravi
The main purpose of the present work is an investigation of the notions Hopfian (co-Hopfian) acts whose their surjective (injective) endomorphisms are isomorphisms. While we invest…
math.GR2021
Chain conditions on (Rees) congruences of S-acts
Roghaieh Khosravi, Mohammad Roueentan
In this paper, we introduce (Rees) artinian S-acts as those acts that satisfy the descending chain condition on their (Rees) congruences. Then, we show that artinian S-acts are tho…