Minimum Zero-Centre-Pandiagonal Composite Type II (a) Loubéré Magic Squares over Multi Set of Integer Numbers as a Semiring

Babayo A.M; Moharram Ali Khan

doi:https://doi.org/10.14445/22315373/IJMTT-V17P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 17 | Number 1 | Year 2015 | Article Id. IJMTT-V17P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V17P505

Minimum Zero-Centre-Pandiagonal Composite Type II (a) Loubéré Magic Squares over Multi Set of Integer Numbers as a Semiring

Babayo A.M, Moharram Ali Khan

Citation :

Babayo A.M, Moharram Ali Khan, "Minimum Zero-Centre-Pandiagonal Composite Type II (a) Loubéré Magic Squares over Multi Set of Integer Numbers as a Semiring," International Journal of Mathematics Trends and Technology (IJMTT), vol. 17, no. 1, pp. 25-31, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V17P505

Abstract

This pioneer work explicates that the set of the Minimum Zero-Centre-Pandiagonal Composite Type II (a) Loubéré Magic Squares over Multi Set of Integer Numbers ZL(as we denote it) forms an additive abelian group if equipped with the matrix binary operation of addition (as we denote it) and if it is enclosed with the integer number operation of multiplication (as we denote it), it forms a multiplicative semigroup with identity. That is, forms a semiring for it satisfies all the axioms of a semiring.

Keywords

Matrix Binary Operation, Integer Numbers Operation, Zero-Centre-Pandiagonal , Composite, Loub Magic Squares , Multi Set of Integer Numbers, Semiring

References

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[3] John M. Howie, “Fundamentals of Semigroup Theory, Oxford University Press,” New York, United States, vol. 1, pp.1, 2003.
[4] Jonathan S.Golan, “Some Recent Applications of Semiring Theory,” International Conference on Algebra in Memory, Kostia Beidar, pp1-2, 2008.