Radicals in the class of compact right topological rings

• Ursul, Mihail ^[2] ; Tripe, Adela ^[1]
  1. [1] University of Oradea

     University of Oradea

     Rumanía

     
  2. [2] University of Technology

     University of Technology

     Rusia

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 15, Nº. 2, 2014, págs. 229-233
• Idioma: inglés
• DOI: 10.4995/agt.2014.2230
• Enlaces
  • Texto completo
• Resumen

  • We construct in this article three radicals in the class of compact right topological rings. We prove also that a simple left Noetherian compact right topological ring is finite.

• Referencias bibliográficas
  • M. Cioban, P. Soltan and C. Gaindric, Academician Vladimi Arnautov - 70th anniversary, Bul. Acad. Stiinte Repub. Mold., 3 (61) (2009), 118-124.
  • P. Halmos, Comment on the real line, Bull. Amer. Math. Soc. 50 (1944), 877-878.
  • (http://dx.doi.org/10.1090/S0002-9904-1944-08255-4)
  • N. Hindman, J. Pym and D. Strauss, Multiplications in additive compactifications of N and Z, Topology Appl. 131 (2003), 149-176.
  • (http://dx.doi.org/10.1016/S0166-8641(02)00298-5)
  • I. Kaplansky, Topological Rings, Amer. J. Math. 69, no. 1 (1957), 153-183.
  • (http://dx.doi.org/10.1163/156853685X00625)
  • H. Leptin, Linear kompakte Moduln und Ringe, I, Math.Z. 62 (1955), 241-267.
  • (http://dx.doi.org/10.1007/BF01180634)
  • M. I. Ursul, Compact left topological rings, Scripta Scientarum Mathematicarum 1 (1997), 257-270.
  • D. Zelinsky, Raising idempotents, Duke Math. J. 21 (1954), 315-322.
  • (http://dx.doi.org/10.1215/S0012-7094-54-02130-4)