Browsing by Author "McConnell, N. R."

Now showing items 1-3 of 3

  • Joins of subalgebras and normals in 0-regular varieties

    Stokes, Tim E.; McConnell, N. R. (Springer Basel, 2015)
    In any 0-normal variety (0-regular variety in which {0} is a subalgebra), every congruence class containing 0 is a subalgebra. These “normal subalgebras” of a fixed algebra constitute a lattice, isomorphic to its congruence ...
  • On base radical and semisimple classes defined by class operators

    McConnell, N. R.; McDougall, R. G.; Stokes, Tim E. (Springer-Verlag, 2012)
    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 ...
  • Radicals of 0-regular algebras

    McConnell, N. R.; Stokes, Tim E. (Akademiai Kiado Rt, 2006)
    We consider a generalisation of the Kurosh--Amitsur radical theory for rings (and more generally multi-operator groups) which applies to 0-regular varieties in which all operations preserve 0. We obtain results for ...

N. R. McConnell has 2 co-authors in Research Commons.