Year: 2006
Type: article
Abstract: We show that each R‐module is n‐flat (resp., weakly n‐flat) if and only if R is an (n, n − 1)‐ring (resp., a weakly (n, n − 1)‐ring). We also give a new characterization of n‐Von Neumann regular rings and a characterization of weak n‐Von Neumann regular rings for (CH)‐rings and for local rings. Finally, we show that in a class of principal rings and a class of local Gaussian rings, a weak n‐Von Neumann regular ring is a (CH)‐ring.
Author: Najib Mahdou
Institution: Sidi Mohamed Ben Abdellah University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,240
OpenAlex ID: W2024995042