On S-n-absorbing ideals

Hyungtae Baek; Hyun Seung Choi; Jung Wook Lim

doi:10.1080/00927872.2025.2479132

On S-n-absorbing ideals

Hyungtae Baek
, Hyun Seung Choi
, Jung Wook Lim

Kyungpook National University
Incheon National University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Let R be a commutative ring with identity, S a multiplicative subset of R and I an ideal of R disjoint from S. In this paper, we introduce the notion of an S-n-absorbing ideal which is a generalization of both the S-prime ideals and the n-absorbing ideals. Moreover, we investigate the basic properties, quotient extension, existence and amalgamation of S-n-absorbing ideals.

Original language	English
Pages (from-to)	4191-4205
Number of pages	15
Journal	Communications in Algebra
Volume	53
Issue number	10
DOIs	https://doi.org/10.1080/00927872.2025.2479132
State	Published - 2025

Keywords

Amalgamation of rings
S-n-absorbing ideals
S-prime ideals
n-absorbing ideals

Access to Document

10.1080/00927872.2025.2479132

Cite this

@article{f5f3eef0a05e4b07b4a08f1b4d5a1688,

title = "On S-n-absorbing ideals",

abstract = "Let R be a commutative ring with identity, S a multiplicative subset of R and I an ideal of R disjoint from S. In this paper, we introduce the notion of an S-n-absorbing ideal which is a generalization of both the S-prime ideals and the n-absorbing ideals. Moreover, we investigate the basic properties, quotient extension, existence and amalgamation of S-n-absorbing ideals.",

keywords = "Amalgamation of rings, S-n-absorbing ideals, S-prime ideals, n-absorbing ideals",

author = "Hyungtae Baek and Choi, \{Hyun Seung\} and Lim, \{Jung Wook\}",

note = "Publisher Copyright: {\textcopyright} 2025 Taylor \& Francis Group, LLC.",

year = "2025",

doi = "10.1080/00927872.2025.2479132",

language = "English",

volume = "53",

pages = "4191--4205",

journal = "Communications in Algebra",

issn = "0092-7872",

publisher = "Taylor and Francis Ltd.",

number = "10",

}

TY - JOUR

T1 - On S-n-absorbing ideals

AU - Baek, Hyungtae

AU - Choi, Hyun Seung

AU - Lim, Jung Wook

PY - 2025

Y1 - 2025

N2 - Let R be a commutative ring with identity, S a multiplicative subset of R and I an ideal of R disjoint from S. In this paper, we introduce the notion of an S-n-absorbing ideal which is a generalization of both the S-prime ideals and the n-absorbing ideals. Moreover, we investigate the basic properties, quotient extension, existence and amalgamation of S-n-absorbing ideals.

AB - Let R be a commutative ring with identity, S a multiplicative subset of R and I an ideal of R disjoint from S. In this paper, we introduce the notion of an S-n-absorbing ideal which is a generalization of both the S-prime ideals and the n-absorbing ideals. Moreover, we investigate the basic properties, quotient extension, existence and amalgamation of S-n-absorbing ideals.

KW - Amalgamation of rings

KW - S-n-absorbing ideals

KW - S-prime ideals

KW - n-absorbing ideals

UR - https://www.scopus.com/pages/publications/105002401416

U2 - 10.1080/00927872.2025.2479132

DO - 10.1080/00927872.2025.2479132

M3 - Article

AN - SCOPUS:105002401416

SN - 0092-7872

VL - 53

SP - 4191

EP - 4205

JO - Communications in Algebra

JF - Communications in Algebra

IS - 10

ER -

On S-n-absorbing ideals

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this