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July-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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Published Paper ID:
JETIR180Z011
Registration ID:
186051
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Title
STUDY ON FREE ABELIAN GROUPS
Authors
Abstract
An Abelian group, also called a commutative group is a group in which the result of applying the group operation to two group elements does not depend on their order. In this paper we discuss about Free abelian groups and its properties, where Free abelian groups are special cases of Free modules as abelian groups are nothing but modules over the ring. we are taking into account how a Free abelian group is related to Free group and Torsion free abelian group. Also we consider one of the important application of Free abelian groups that is “The proof of Fundamental Theorem of Finitely Generated Abelian Groups”
Key Words
Free abelian group, Free modules, Free group, Torsion free abelian group
Cite This Article
"STUDY ON FREE ABELIAN GROUPS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.5, Issue 7, page no.789-792, July-2018, Available :http://www.jetir.org/papers/JETIR180Z011.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
"STUDY ON FREE ABELIAN GROUPS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.5, Issue 7, page no. pp789-792, July-2018, Available at : http://www.jetir.org/papers/JETIR180Z011.pdf
Publication Details
Published Paper ID: JETIR180Z011
Registration ID: 186051
Published In: Volume 5 | Issue 7 | Year July-2018
Page No: 789-792
Country: MUVATTUPUZHA, KERALA, India .
Area: Mathematics
ISSN Number: 2349-5162
Publisher: IJ Publication
Published Paper URL :: https://www.jetir.org/view?paper=JETIR180Z011
Published Paper PDF: https://www.jetir.org/papers/JETIR180Z011
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