ALGEBRAIC STUDY OF RHOTRIX SEMIGROUP

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Date
2015-03
Authors
BALARABE, MUSA
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Abstract
In this thesis, we present an algebraic study of „rhotrix semigroup‟. We identify the properties of this semigroup and introduce some new concepts such as rhotrix rank and rhotrix linear transformation in order to 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.
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iii BALARABE, Musa M.Sc/SCIE/5406/2010-2011 A THESIS SUBMITTED TO THE POSTGRADUATE SCHOOL, AHMADU BELLO UNIVERSITY, ZARIA, NIGERIA IN PARTIAL FULFILMENT FOR THE AWARD OF MASTER OF SCIENCE DEGREE IN MATHEMATICS DEPARTMENT OF MATHEMATICS, AHMADU BELLO UNIVERSITY, ZARIA NIGERIA
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ALGEBRAIC, STUDY
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