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Maximal subnear-rings of functions
Authors:C. J. Maxson
Affiliation:(1) Department of Mathematics, Texas A&M University, College Station, TX 77843-3368, USA;(2) Department of Mathematical Sciences, Mathematics Division, University of Stellenbosch, 7600 Stellenbosch, South Africa
Abstract:For a group G, let M(G) denote the near-ring of functions on G. We characterize all maximal subnear-rings of M(G) and show that for many classes of groups, E(G), the near-ring generated by the semigroup, End(G) of G, is never maximal as a subnear-ring of M 0 (G). Received: 25 April 2008
Keywords:  KeywordHeading"  >. Subnear-rings  endomorphism near-rings
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