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Home  >  Volume 27 (July 2014)

10. On Construction of Rhotrix Semi group by A. Mohammed,M. Balarabe and A. T. Imam. Volume 27,(July 2014), pp 69 – 76
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The concept of rhomboidal arrays,now known as rhotrices, was introduced in 2003 as a new paradigm of matrix theory of rectangular arrays. This paper presents a construction of certain algebraic system, which we termed as rhotrix semigroup. We identify the properties of this rhotrix semigroup and characterize its Green’s relations. Furthermore, as comparable to regular semigroup of square matrices, we show that the rhotrix semigroup is also a regular semigroup.

    Key words: Rhotrix, Matrix, Semigroup, Rhotrix semigroup, Matrix semigroup.