This note is to indicate a nonsemiprime ring R such that the smallest supernilpotent (respectively special) radical containing the ring R is an atom of the lattice of all supernilpotent (respectively special) radicals. This gives a positive answer to Puczylowski's and Roszkowska's question.
机构:
Univ Sarajevo, Fac Civil Engn, Patriotske Lige 30, Sarajevo 71000, Bosnia & HercegUniv Sarajevo, Fac Civil Engn, Patriotske Lige 30, Sarajevo 71000, Bosnia & Herceg
机构:
Nelson Mandela Metropolitan Univ, Dept Math & Appl Math, ZA-6031 Port Elizabeth, South AfricaNelson Mandela Metropolitan Univ, Dept Math & Appl Math, ZA-6031 Port Elizabeth, South Africa