Direct Sum of Ideals in a Generalized LA-Ring

Abstract

Abstract. A near LA-ring (nLA-ring) is a generalization of an LA-ring and footed parallel to the near ring. In this study we characterized nLA-ring through its ideals. We have shown that the sum of ideals is again an ideal, and established the necessary and sufficient condition for an nLA-ring to be direct sum of its ideals. Furthermore we observed that the product of ideals is just a left ideal

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