Taiwanese Journal of Mathematics

SUBMODULES OF MULTIPLICATION MODULES

Shahabaddin Ebrahimi Atani

Full-text: Open access

Abstract

Let R be a commutative ring with identity (zero-divisors admitted). Various properties of submodules a multiplication module are considered. In fact, our aim here is to generalize some of the results in the paper listed as [1], from finitely generated faithful multiplication ideals to finitely generated faithful multiplication modules.

Article information

Source
Taiwanese J. Math., Volume 9, Number 3 (2005), 385-396.

Dates
First available in Project Euclid: 18 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500407847

Digital Object Identifier
doi:10.11650/twjm/1500407847

Mathematical Reviews number (MathSciNet)
MR2162884

Zentralblatt MATH identifier
1098.13002

Subjects
Primary: 13A15: Ideals; multiplicative ideal theory 13F05: Dedekind, Prüfer, Krull and Mori rings and their generalizations

Keywords
multiplication modules greatest common divisor least common multiple

Citation

Atani, Shahabaddin Ebrahimi. SUBMODULES OF MULTIPLICATION MODULES. Taiwanese J. Math. 9 (2005), no. 3, 385--396. doi:10.11650/twjm/1500407847. https://projecteuclid.org/euclid.twjm/1500407847


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References

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