Relation between Weakly Prime Elements and Weakly Prime Sub Modules

Dr. Ayaz Ahmad

Relation between Weakly Prime Elements and Weakly Prime Sub Modules

Dr. Ayaz Ahmad * §

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§ National institute of Technology Patna, Bihar, INDIA.

Relation between Weakly Prime Elements and Weakly Prime Sub Modules

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Abstract

In this paper we give the defition of weakly prime element of a module. Therefore we give a new definition of factorization in a module, which is called weakly factorization. So we call a module weakly unique factorization which is unique. We give the relation between weakly prime elements and weakly prime sub modules Then we characterize such weakly unique factorization modules.

References

5 Cites in Article

Reference Format

1. D Anderson,Silvia Valdes-Leon (1906). Factorization in Commutative Rings with Zero Divisors, II.
2. A Azizi (2006). WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES. Glasgow Mathematical Journal, 48(2), 343-346.
3. Chin-Pi Lu (1977). Factorial modules, Rocky Mountain. J. Math, 7, 125-139.
4. A Nicolas (1966). Seminaire Dubrell-Pisot. Seminaire Dubrell-Pisot, 67
5. D Norhcott (1968). Relation between weakly prime elements and weakly prime sub modules 22. Relation between weakly prime elements and weakly prime sub modules 22

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Ayaz Ahmad. 2012. "Relation between Weakly Prime Elements and Weakly Prime Sub Modules". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F10).

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GJSFR Volume 12 Issue F10

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

factorization Weakly prime element weakly prime sub module

Classification

GJSFR-F Classification MSC 2010: 11A41

Submission ReceivedJuly 7, 2012
Peer Review Double Blind
Handling Editor
Accepted July 27, 2012
Published September 3, 2012

Version of record

v1.2

Issue date

September 3, 2012

Language

English

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Article Matrices

Total Score: 106

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Dr. Ayaz Ahmad (PhD/Dr. count: 1)

View Count (all-time): 345

Total Views (Real + Logic): 1829

Total Downloads (simulated): 122

Publish Date: 2012 08, Tue

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Total Views: 1.8K

Total Downloads: 122

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