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Restrictions on the Entries of the Maps in Free Resolutions and SC_r-condition
초록
We discuss an application of ‘restrictions on the entries of the maps in the minimal free resolution‘ and ‘SC_r-condition of modules’, and give an alternative proof of the following result of Foxby: Let M be a finitely generated module of dimension over a Noetherian local ring (A,m). Suppose that A has no embedded primes. If A is not Gorenstein, then μi(m,A) ≥ 2 for all i ≥ dimA.
키워드
Bass Numbers; SCr-condition; Cohen-Macaulay Rings; Gorenstein Rings; Minimal Injective Resolution
- 제목
- Restrictions on the Entries of the Maps in Free Resolutions and SC_r-condition
- 저자
- 이기석
- 발행일
- 2011-12
- 저널명
- 조선자연과학논문집
- 권
- 4
- 호
- 4
- 페이지
- 278 ~ 281
- 언어
- ENG
- 출판사
- 조선대학교 기초과학연구원
- 발행국가
- 대한민국
- 분량
- 4 페이지
- ISSN
- P 2005-1042