Covering rings by proper ideals

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Authors: Malcolm Hoong Wai Chen, Eric Swartz, Nicholas J. Werner
Cited by: 0

Abstract

A cover by left ideals of an associative (not necessarily commutative or unital) ring R is a collection of proper left ideals whose set-theoretic union equals R. If such a cover exists, then ηl(R) is the cardinality of a minimal cover, and R is ηl-elementary if ηl(R)

Fields of Study & Subjects

Rings Modules and Algebras Commutative Algebra and Its Applications Fuzzy and Soft Set Theory

Publication details

Journal / source
Communications in Algebra
Pages
1–15
Publication date
30 April 2026
Language
EN