CHAPTER ONE INTRODUCTION AND LITERATURE REVIEW 1.1 BACKGROUND OF THE STUDY The introduction and development of the notion of a matrix and the subject of linear algebra followed the development of determinants, which arose from the study of coefficients of systems of linear equations. Leibnitz, one of the founder of calculus, used determinant in 1963 […]
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ALGEBRAIC STUDY OF RHOTRIX SEMIGROUP
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 […]