Year: 2019
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Abuhlail, Jawad, Noegraha, Rangga Ganzar
Institution: King Fahd University of Petroleum and Minerals
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2360452639
OpenAlex ID: W4288282908