IJPAM: Volume 90, No. 3 (2014)

DISTRIBUTED SOFTWARE SYSTEM FOR TESTING
NEAR-RINGS HYPOTHESES AND NEW CONSTRUCTIONS
FOR NEAR-RINGS ON FINITE CYCLIC GROUPS

N. Pavlov$^1$, A. Golev$^2$, A. Rahnev$^3$
$^{1,2,3}$Faculty of Mathematics and Informatics
University of Plovdiv
236, Bulgaria Blvd., 4003, Plovdiv, BULGARIA


Abstract. In this paper we describe a software system for testing hypotheses about near-rings on finite cyclic groups. The system allows researchers to define parameters and test $\pi$ functions. By using this software we make new hypotheses, and formulate and prove statements for constructions of new classes of near-rings. We compute all near-rings on finite cyclic group of order 33, 34 and 35.

Received: September 11, 2013

AMS Subject Classification: 16Y30

Key Words and Phrases: near-ring, finite cyclic group, distributed software, grid computing

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DOI: 10.12732/ijpam.v90i3.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 90
Issue: 3