%0 Journal Article
%T S-Acts with Finitely Generated Universal Congruence
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Gholipour, Ali Asghar
%A Barzegar, Hasan
%A Rasoli, Hamid
%A Tehranian, Abolfazl
%D 2022
%\ 12/01/2022
%V 7
%N 4
%P 377-384
%! S-Acts with Finitely Generated Universal Congruence
%K S-act
%K Universal congruence
%K Pseudofinite
%K Finitely generated
%R 10.22052/mir.2022.246505.1357
%X Universal left congruences on semigroups were studied in “Y. Dandan, V. Gould, T. Quinn-Gregson and R. Zenab, Semigroups with finitely generated universal left congruence, Monat. Math. 190 (2019) 689−724”. We consider universal congruences on acts over monoids and extend the results from semigroups to acts. Among other things, for an S-act AS with zero over a monoid S, we prove that being finitely generated of the universal congruence ωA and being pseudofinite of AS coincide.
%U https://mir.kashanu.ac.ir/article_112905_d254330567fbf36eaca6f1309f1c9f77.pdf