On weakly irreducible ideals
Year: 2016
Type: article
Abstract: In this article, we define weakly irreducible ideals as a new generalization of quasi-primary ideals and strongly irreducible ideals of a commutative ring with identity. We study some basic properties of weakly irreducible ideals and give some characterizations of them, especially in unique factorization domains, Laskerian rings and absolutely flat rings.
Authors: Mahdi Samiei, Hosein Fazaeli Moghimi
Institutions: Velayat University, University of Birjand
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W3130061091