Beside the Jacobson-type radicals of near-rings, R. Mlitz introduced some new types of radicals which have the origin in universal algebra. For example, the upper radical of all simple near-rings with identity is hypernilpotent (i.e., it contains all nilpotent near-rings) and hyperconstant (contains all constant near-rings). Another interesting example is the M-radical which has all zero-symmetric near-rings as its semisimple class; it is the ideal generated by the constants.
Sprache der Kurzfassung:
Hauptvortrag / Eingeladener Vortrag auf einer Tagung
Details zum Vortragsort:
3rd European Conference on Structural Control (ECSC) Wien Wien