• A NOTE ON MATRIX NEAR - RINGS CONTAINING ALL DIAGONAL MATRICES
Abstract
In this paper we studied the structure being the same in particular for all fields R, Matrix near-rings between Dn(R) and Mn(R) correspond to certain 0 – 1 matrices of size n x n via the incidence algebra construction, independently of the field R. The Noetherian and Artinian properties of R are also reflected in the lattice structure of intermediate rings.
Keywords
Near ring, Matrix ring, matrix near ring, matrix sub near ring.
Full Text:
PDFThis work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2022 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |