9A9 Composite Loube I(re) I Magic Squares Infinite Abelian Group as a Miscellany Case of the 3A3 Loube I(re) I Magic Squares Infinite Abelian Group

9A9 Composite Loube I(re) I Magic Squares Infinite Abelian Group as a Miscellany Case of the 3A3 Loube I(re) I Magic Squares Infinite Abelian Group

α

Babayo A.M.

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σ

Babayo A.M

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ρ

G.U.Garba

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Ѡ

Abdul Aziz Garba Ahmad

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α Federal University Kashere

9A9 Composite Loube I(re) I Magic Squares Infinite Abelian Group as a Miscellany Case of the 3A3 Loube I(re) I Magic Squares Infinite Abelian Group

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Abstract

In this paper, mystic miscellaneous algebraic properties of the set of 9 × 9 Composite (Nested) Loubere ́́ Magic Squares are vividly visualized. And, verbatim virtuoso of algebraic properties of the 3 × 3 Loubere ́́ Magic Squares viz: Eigen group, Magic Sum group and Centre Pieces group viewed the algebraic properties of its 9 × 9 Composite. It is also showcased that both the 2 sets equipped with the matrix binary operation of addition form infinite additive abelian groups.

References

5 Cites in Article

Reference Format

Maya Ahmed (2004). Algebraic Combinatorics of Magic Squares, A Doctor of Philosophy Dissertation.
Daryl Stephens (1993). Matrix Properties of Magic Squares.
K Sreeranjini,V Mallayya (2012). Semi Magic Squares as a Field.
J Lee,C Sallows (1986). Adventures with Turtle Shell and Yew between the Mountains of Mathematics and the Lowlands of Logology.
Yee Gan,Siang,Wan Fong,Nor Heng,Haniza Sarmin (2012). Properties and Solutions of Magic Squares.

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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

Babayo A.M.. 2015. \u201c9A9 Composite Loube I(re) I Magic Squares Infinite Abelian Group as a Miscellany Case of the 3A3 Loube I(re) I Magic Squares Infinite Abelian Group\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F2): .

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GJSFR Volume 15 Issue F2
Pg. 71- 79

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 06F20

Submission ReceivedJanuary 29, 2015
Peer Review Double Blind
Handling Editor
Accepted February 19, 2015
Published March 6, 2015

Version of record

v1.2

Issue date

March 7, 2015

Language

en

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Article Matrices

Total Score: 103

Country: Nigeria

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

Authors: Babayo A.M, G.U.Garba, Abdul Aziz Garba Ahmad, (PhD/Dr. count: 0)

View Count (all-time): 180

Total Views (Real + Logic): 4341

Total Downloads (simulated): 2207

Publish Date: 2015 03, Sat

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Total Views: 4341

Total Downloads: 2207

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Published Article

In this paper, mystic miscellaneous algebraic properties of the set of 9 × 9 Composite (Nested) Loubere ́́ Magic Squares are vividly visualized. And, verbatim virtuoso of algebraic properties of the 3 × 3 Loubere ́́ Magic Squares viz: Eigen group, Magic Sum group and Centre Pieces group viewed the algebraic properties of its 9 × 9 Composite. It is also showcased that both the 2 sets equipped with the matrix binary operation of addition form infinite additive abelian groups.

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