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초록
In 2011, David F. Anderson and Ayman Badawi defined n- absorbing ideals, and introduced the invariant omega R(I), which is the minimal integer n for which I is an n-absorbing ideal of a commutative ring R. We prove that the conjectures concerning n-absorbing ideals raised by Anderson and Badawi are true on locally divided rings.(c) 2021 Elsevier Inc. All rights reserved.
키워드
n-Absorbing ideals; Idealization of a module; Strongly Laskerian rings; Locally divided rings; DIVISORIAL IDEALS; DIMENSION
- 제목
- On n-absorbing ideals of locally divided commutative rings
- 저자
- Choi, Hyun Seung
- 발행일
- 2022-03-15
- 유형
- Article
- 권
- 594
- 페이지
- 483 ~ 518
- 언어
- ENG
- 출판사
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- 발행국가
- 미국
- 분량
- 36 페이지
- ISSN
- E 1090-266X
P 0021-8693