Abstract
Some sufficient conditions are presented for the lower radical construction in a variety of algebras to terminate at the step corresponding to the first infinite ordinal. An example is also presented, in a variety satisfying some non-trivial identities, of a lower radical construction terminating in four steps.
Publisher
Cambridge University Press (CUP)
Reference14 articles.
1. Lower radical properties for alternative rings;Krempa;Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.,1975
2. Some degeneracy and pathology in non-associative radical theory;Gardner;Ann. Univ. Sci. Budapest.
3. Supernilpotent radicals of (−1,1)-rings
4. Lower radical rings
5. К Теории радикалов в группах;Щукин;Sibirsk. Mat. Ž.,1962