Absorbing Ideals in Commutative Rings: A Survey

Ayman Badawi ()
Additional contact information
Ayman Badawi: The American University of Sharjah, Department of Mathematics & Statistics

A chapter in Algebraic, Number Theoretic, and Topological Aspects of Ring Theory, 2023, pp 51-60 from Springer

Abstract: Abstract Let R be a commutative ring with 1 ≠ 0 and I be a proper ideal of R. Then I is called a 2-absorbing ideal of R if whenever abc ∈ I for some a, b, c ∈ R, then ab ∈ I or bc ∈ I or ac ∈ I. This article surveys recent developments on 2-absorbing ideals and their generalizations in commutative rings.

Date: 2023
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-28847-0_4

Ordering information: This item can be ordered from
http://www.springer.com/9783031288470

DOI: 10.1007/978-3-031-28847-0_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().