Ideals and Direct Products of Zero-Square Nearrings

Satyanarayana, Bhavanari and Lungisile, Godloza and Prasad, Babu M and Kuncham, Syam Prasad (2010) Ideals and Direct Products of Zero-Square Nearrings. International Journal of Algebra, 4 (13-16). pp. 777-789. ISSN 1312-8868

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Abstract

We consider a zero symmetric right nearring N. The concepts, zerosquare nearring of type-1/type-2, zero-square ideal of type-1/type-2, and zero square dimension of a nearring were introduced and obtained several important results. Finally, some relations between the zerosquare dimension of the direct sum of finite number of nearrings, and the sum of the zero-square dimension of individual nearrings are obtained. Necessary examples are provided.

Item Type: Article
Uncontrolled Keywords: zero-square nearring, zero-square ideal, direct sum, zero-square dimension, uniform ideal, essential ideal.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 08 Dec 2011 06:48
Last Modified: 28 May 2012 09:41
URI: http://eprints.manipal.edu/id/eprint/1704

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