Length approximations for independently generated ideals

JOURNAL OF ALGEBRA

卷:237

Article

Hanes, D

关键词: commutative algebra;    matrix factorization;   

DOI  :  10.1006/jabr.2000.8598

来源: Elsevier

【 摘 要 】

We study ideals primary to the maximal ideal of a commutative Noetherian local ring. When such an ideal is generated by elements which are independent in the sense of C. Lech, we prove a lower bound on the length of the quotient ring in terms of the orders of the generators. As a corollary we obtain a substantial partial result on Lech's conjecture on the multiplicities of a flat couple of local rings. (C) 2001 Academic Press.

【 授权许可】

Free