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Ideal bladder length

✍ Scribed by Tekin Akpolat; Türkan Aydogdu; Emre Erdem

Book ID
116549541
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
68 KB
Volume
148
Category
Article
ISSN
0167-5273

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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