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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…
math.CT2021
On Cogenerating and Finitely cogenerated S-acts
Roghaieh Khosravi, Xingliang Liang, Mohammad Roueentan
In this paper, cogenerating classes of -acts are introduced as those that can be used to cogenerate -acts in an appropriate sense. Next, finitely cogenerated -acts are int…