S-Acts with Finitely Generated Universal Congruence

نویسندگان
Gholipour, Ali Asghar ID 1
Barzegar, Hasan ID 2
Rasoli, Hamid ID 3
Tehranian, Abolfazl ID 4

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Tafresh University, 39518-79611, Tafresh, Iran

3 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

4 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

doi
10.22052/mir.2022.246505.1357
چکیده

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.

کلیدواژه‌ها
S-act, Universal congruence, Pseudofinite, Finitely generated