Flat Semimodules & von Neumann Regular Semirings
Rings and Algebras
2025-10-28 v3 Commutative Algebra
Abstract
Flat modules play an important role in the study of the category of modules over rings and in the characterization of some classes of rings. We study the e-flatness for semimodules introduced by the first author using his new notion of exact sequences of semimodules and its relationships with other notions of flatness for semimodules over semirings. We also prove that a subtractive semiring over which every right (left) semimodule is e-flat is a von Neumann regular semiring.
Cite
@article{arxiv.1907.07047,
title = {Flat Semimodules & von Neumann Regular Semirings},
author = {Jawad Abuhlail and Rangga Ganzar Noegraha},
journal= {arXiv preprint arXiv:1907.07047},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:1904.01549, arXiv:1904.07708