Commun. Korean Math. Soc. 2024; 39(2): 363-372
Online first article April 19, 2024 Printed April 30, 2024
https://doi.org/10.4134/CKMS.c230240
Copyright © The Korean Mathematical Society.
MOHAMED CHHITI, SALAH EDDINE MAHDOU
University S. M. Ben Abdellah Fez; University S. M. Ben Abdellah Fez
In this paper, we introduce a weak version of coherent that we call regular coherent property. A ring is called regular coherent, if every finitely generated regular ideal is finitely presented. We investigate the stability of this property under localization and homomorphic image, and its transfer to various contexts of constructions such as trivial ring extensions, pullbacks and amalgamated. Our results generate examples which enrich the current literature with new and original families of rings that satisfy this property.
Keywords: Regular ideal, regular coherent ring, trivial ring extension, pullbacks, amalgamation
MSC numbers: 13A15, 13B99, 13E15
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