Abstract
We study supertopological near-rings in which either the set of quasi-regular element is d-open (called Q-supertopological rings) or the set of nilpotent elements is d-open. We have also characterized Q-supertopological rings among near-rings in terms of right ideals. Sev-eral properties regarding the Jacobson radical of such a supertopological ring are proved. Assuming that the set of nilpotent elements is d-open and the supertopological ring is right d-bounded, it is shown that the Jacobson radical is d-open.
Cuvinte cheie
supertopological rings
radical
supertopological near-rings
d-compact
d-bounded
D-supercontinuous