期刊论文详细信息
Proceedings Mathematical Sciences | |
A Criterion for Regular Sequences | |
U Storch3  J Stückrad1  D P Patil2  | |
[1] Fakultät für Mathematik und Informatik, Universität, Leipzig, D-00 Leipzig, Germany$$;Department of Mathematics, Indian Institute of Science, Bangalore 0 0, India$$;Fakultät für Mathematik, Ruhr Universität Bochum, D-0 Bochum, Germany$$ | |
关键词: Regular sequence.; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
Let ð‘… be a commutative noetherian ring and $f_1,ldots,f_r in R$. In this article we give (cf. the Theorem in $mathcal{x}$2) a criterion for $f_1,ldots,f_r$ to be regular sequence for a finitely generated module over ð‘… which strengthens and generalises a result in [2]. As an immediate consequence we deduce that if $V(g_1,ldots,g_r) subseteq V(f_1,ldots,f_r)$ in Spec ð‘… and if $f_1,ldots,f_r$ is a regular sequence in ð‘…, then $g_1,ldots,g_r$ is also a regular sequence in ð‘….
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040506645ZK.pdf | 79KB | download |