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.

引用

页码：373 / 399

页数：27

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