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February-2018
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Journal of Emerging Technologies and Innovative Research ( An International Scholarly Open Access Journal, Peer-reviewed, Refereed Journal )
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UGC Approved Journal no 63975(19)
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UGC and ISSN approved 7.95 impact factor UGC Approved Journal no 63975
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JETIR1802274
Registration ID:
303623
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Title
Generalization of Unique Factorization and Its Application
Authors
Abstract
In this paper our main focus is on a different property of unique factorization domain (UFD) which does not require the domain to be atomic. We define an integral domain R to be a generalized unique factorization domain (GUFD) if every nonzero non unit of R is expressable as a finite product of mutually coprime prime quanta. The purpose of this paper is to study the generalization of unique factorization domain and its application to solve Diophantine equations.
Key Words
generalization diphantine, irreducible, domain Gaussian, Associate
Cite This Article
"Generalization of Unique Factorization and Its Application", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 2, page no.1359-1365, February-2018, Available :http://www.jetir.org/papers/JETIR1802274.pdf
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2349-5162 | Impact Factor 7.95 Calculate by Google Scholar
An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 7.95 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator
Cite This Article
"Generalization of Unique Factorization and Its Application", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 2, page no. pp1359-1365, February-2018, Available at : http://www.jetir.org/papers/JETIR1802274.pdf
Publication Details
Published Paper ID: JETIR1802274
Registration ID: 303623
Published In: Volume 5 | Issue 2 | Year February-2018
Page No: 1359-1365
Country: naskn, kknasknx, india .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR1802274
Published Paper PDF: https://www.jetir.org/papers/JETIR1802274
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