ON SOME LATTICES OF MODULE CLASSES

被引：19

作者：

Alvarado Garcia, Alejandro ^{[1
]}

Alberto Rincon-Mejia, Hugo ^{[1
]}

Rios Montes, Jose ^{[2
]}

机构：

[1] Univ Nacl Autonoma Mexico, Fac Ciencias, Circuito exterior, CU, Mexico City 04510, DF, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Matemat, Area Invest Cientifica, Circuito exterior,CU, Mexico City 04510, DF, Mexico

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 01期

关键词：

Conatural class; hereditary torsion theory; artinian principal ideal ring;

D O I：

10.1142/S0219498806001624

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we continue the discussion of the conatural classes introduced in [1]. We prove that the collection R-conat of all conatural classes of left modules over a ring R is a set, and it is a boolean lattice. Afterwards we study relationships between some lattices of module classes: R-conat and R-tors, R-her and R-quot. As a consequence of the developed theory we obtain characterizations of left MAX rings and artinian principal ideal rings.

引用

页码：105 / 117

页数：13

共 11 条

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