ON THE ASYMPTOTIC-BEHAVIOR OF LENGTHS OF FACTORIZATIONS

被引：14

作者：

GEROLDINGER, A

HALTERKOCH, F

机构：

[1] Institut für Mathematik, Karl-Franzens-Universität, A-8010 Graz

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1992年 / 77卷 / 03期

关键词：

D O I：

10.1016/0022-4049(92)90140-B

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For an integral domain R and a non-zero non-unit a is-an-element-of R we denote by l*(a) the minimal and by l*(a) the maximal length of a factorization of a into irreducible elements. In this paper, the quantities 1/nl*(a(n)) and 1/nl*(a(n)) are studied for n --> infinity in particular for Krull and certain noetherian domains.

引用

页码：239 / 252

页数：14

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