S-Acts with Finitely Generated Universal Congruence

Document Type : Original Scientific Paper

Authors

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

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

Abstract

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.

Keywords

References

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Mathematics Interdisciplinary Research
Volume 7, Issue 4
December 2022
Pages 377-384

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