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Recent Developments in Nearrings with Some Applications

Kuncham, Syam Prasad and Kedukodi, Babushri Srinivas and Harikrishnan, P K and Satyanarayana, Bhavanari (2015) Recent Developments in Nearrings with Some Applications. Technical Report. Manipal Research Review.

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Abstract

Algebra is often described as the language of mathematics. Historically, the terms algebra and algorithm originate from the same source. The theory of nearrings is now a sophisticated theory in algebra. Nearrings are generalized rings: commutativity of addition is not assumed, and- more important- only one distributive law is required. Compared with a standard class of rings, endomorphism rings of abelian groups, one sees that rings describe “linear” maps on groups, while nearrings handle the general nonlinear case. Nearrings in which the nonzero elements form a multiplicative group are called nearfields. The connections between nearrings (especially nearfields) and geometry are wellknown. In this review we present recent developments in nearrings and some applications of the notions involved

Item Type: Monograph (Technical Report)
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 26 May 2016 14:55
Last Modified: 17 Feb 2017 15:03
URI: http://eprints.manipal.edu/id/eprint/146177

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