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Primitivity in near-rings of continuous functions

Authors
Journal
Topology and its Applications
0166-8641
Publisher
Elsevier
Publication Date
Volume
159
Issue
9
Identifiers
DOI: 10.1016/j.topol.2011.02.015
Keywords
  • Near-Ring
  • Topological Group
  • Equiprime
  • 2-Primitive
  • 3-Primitive

Abstract

Abstract In previous work, we studied primeness in near-rings and sandwich near-rings of continuous functions. In this paper we find conditions in certain cases for such near-rings to be 2- and 3-primitive. We also characterise the Jacobson-type radicals J2 and J3 and the Brown–McCoy radical of such near-rings in certain cases.

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