الفهرس 
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Abstract
Study on some topics of infinite Matrices.
The thesis consists of three chapters.
The first one is mainly a survey of the algebraic part of the subject of the infinite matrices, though the list article is a new addition in that article the work investigates some properties of an algebraic infinite matrix which are retained by the reciprocal matrix. Chapter two establishes a number of new results on functions of two commutative algebraic infinite matrices in (basic sets of polynomials).