ON NEAR-RINGS OF MATRICES

Abstract

The main purpose of this dissertation is to study " Near-Rings of Matrices " . The work is divided into six parts . In the first one , we give the fundamental definitions and properties of near-rings . In the second part , we give the definitions of matrix near-rings , which introduced in [10] and [14] and then give the new approach of this subject which appeared in [15] . In the third part of this dissertation, we shall be concerned with ideals in matrix near-rings . In the fourth part , we review the class of a-generated near-rings . In the fifth and sixth parts , we give some new results concerning matrix near-rmg. Mathematics subject classification (2000) : 1 6Y30, 12K05 .