The smallest element of a lattice of ideals in semi-hereditary rings

Majid M. Ali*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let R be a commutative ring with identity. A ring R is called a semi-hereditary ring if every finitely generated ideal in R is projective. For finitely generated ideals A and B in R, we consider the associated lattice of ideals in a semi-hereditary ring R (Formula presented.) In this note, we investigate the smallest element in (Formula presented.).

Original languageEnglish
Pages (from-to)4199-4207
Number of pages9
JournalCommunications in Algebra
Volume49
Issue number10
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Multiplication ideal
  • projective ideal
  • semi-hereditary ring

ASJC Scopus subject areas

  • Algebra and Number Theory

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