IJPAM: Volume 90, No. 3 (2014)
NEAR-RINGS HYPOTHESES AND NEW CONSTRUCTIONS
FOR NEAR-RINGS ON FINITE CYCLIC GROUPS
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 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