Original Articles

MORITA NEAR-RINGS

Published in: Quaestiones Mathematicae
Volume 15 , issue 4 , 1992 , pages: 431–449

DOI: 10.1080/16073606.1992.9631703

Author(s): Shoji Kyuno Department of Mathematics, Japan , Stefan Veldsman Department of Mathematics, South Africa

Keywords: 16Y30

Abstract

We define a morita context for near-rings and subsequently a morita near-ring. Any near-ring can be considered as a morita context for near-rings, and the corresponding morita near-ring is just the 2 x 2 matrix near-ring over the near-ring. We also determine the relationships between the ideals of a morita context and the ideals of a morita near-ring.

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