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Nig. J. Basic Appl. Sci.. 2015; 23(2): 117-120


Construction of an Algebraic Structure Using a Concatenation Map

A.I. Garba and J. Abubakar.




Abstract

In this paper, modular arithmetic is used to construct an algebraic structure. Some algebraic and number theoretic properties of the structure are enumerated. The structure is then extended by embedding a special cycle into it. A concatenation map is then defined on the extended structure and it is discovered that the extended structure is an abelian group under the concatenation map.

Key words: Permutation, Pattern, Concatenation, Range, Cycle, Structure






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