On \(\alpha\)-like radicals of rings

Authors

  • H. France-Jackson Nelson Mandela Metropolitan University
  • T. Khulan University of Mongolia
  • S. Tumurbat University of Mongolia

Keywords:

prime like radical, α-like radical, special radical, Amitsur property of radicals, polynomially extensible radicals

Abstract

Let \(\alpha\) be any radical of associative rings. A radical \(\gamma\) is called \(\alpha\)-like if for every \(\alpha\)-semisimple ring \(A\), the polynomial ring \(A[x]\) is \(\gamma\)-semisimple. In this paper, we describe properties of \(\alpha\)-like radicals and show how they can be used to solve some open problems in radical theory. 10.1017/S0004972712000895

Author Biographies

H. France-Jackson, Nelson Mandela Metropolitan University

Mathematics, Professor

T. Khulan, University of Mongolia

Department of Algebra, Professor

S. Tumurbat, University of Mongolia

Department of Algebra, Professor

Published

2013-08-10

Issue

Vol. 88 No. 2 (2013)

Section

Articles
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