Original Articles

ON ATOMS OF THE LATTICE OF SUPERNILPOTENT RADICALS

Published in: Quaestiones Mathematicae
Volume 10 , issue 3 , 1987 , pages: 251–255

DOI: 10.1080/16073606.1987.9631932

Author(s): Halina France-Jackson Department of Mathematics,

Keywords: 16A 22 , 16A 35

Abstract

This note is to indicate atoms of the lattice of all supernilpotent radicals for associative rings which cannot be represented as supernilpotent radicals generated by suitable simple idempotent rings. This gives a negative answer to Rjabukhin's question [6].

« EXPANSIONS IN EIGENFUNCTIONS OF A TWO-PARAMETER SYSTEM OF DIFFERENTIAL EQUATIONS. II

ON SOME SPECIAL CLASSES OF PRIME RINGS »