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      • Computing and Mathematical Sciences
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      On base radical and semisimple classes defined by class operators

      McConnell, N. R.; McDougall, R. G.; Stokes, Tim E.
      DOI
       10.1007/s10474-012-0249-9
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      McConnell, N. R., McDougall, R. G., & Stokes, T. (2013). On base radical and semisimple classes defined by class operators. Acta Mathematica Hungarica, 138(4), 307-328.
      Permanent Research Commons link: https://hdl.handle.net/10289/7153
      Abstract
      By using class operators, we define base radical and semisimple classes, within a broad abstract setting due to Puczylowski. The new notions agree with the usual Kurosh–Amitsur ones for associative rings and groups but differ for not necessarily associative rings, in general lying strictly between the Kurosh–Amitsur and torsion theory notions. A study of the class operators for their own sake is initiated, and a connection with modal logic is made.
      Date
      2012
      Type
      Journal Article
      Publisher
      Springer-Verlag
      Collections
      • Computing and Mathematical Sciences Papers [1452]
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