Descending chains of modules and Jordan-Holder theorem

被引：1
|
作者：
Diracca, L
Facchini, A
机构：
[1] Univ Padua, Dipartimento Matemat Pura & Applicata, I-35131 Padua, Italy
[2] Ctr Recerca Matemat, Barcelona, Spain
来源：
SEMIGROUP FORUM | 2004年 / 68卷 / 03期
关键词：
D O I：
10.1007/s00233-003-0019-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The relation between unique factorization, Krull-Schmidt Theorem and Jordan-Hölder Theorem was studied. Various examples of Jordan-Hölder type theorems existing in the mathematical literature were also discussed. The Jordan-Hölder Theorem and Schreier Theorem concern partial ordered set. The relation between these three contexts shows that some commutative monoid is free in all these three cases.
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页码：373 / 399
页数：27
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