Relation between Weakly Prime Elements and Weakly Prime Sub Modules

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Dr. Ayaz Ahmad
Dr. Ayaz Ahmad
2
Dr. Ayaz  Ahmad
Dr. Ayaz Ahmad
1 National institute of Technology Patna, Bihar, INDIA.

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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.

5 Cites in Articles

References

  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.
  3. Chin-Pi Lu (1977). Factorial modules, Rocky Mountain.
  4. A Nicolas (1966). Seminaire Dubrell-Pisot.
  5. D Norhcott (1968). Relation between weakly prime elements and weakly prime sub modules 22.

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.

Dr. Ayaz Ahmad. 2012. \u201cRelation between Weakly Prime Elements and Weakly Prime Sub Modules\u201d. 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
Pg. 19- 22
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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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v1.2

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September 3, 2012

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English

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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.

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Relation between Weakly Prime Elements and Weakly Prime Sub Modules

Dr. Ayaz  Ahmad
Dr. Ayaz Ahmad

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