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
收藏
页码：239 / 252
页数：14
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