Involution algebras and the Anderson-Divinsky-Sulinski property Page 7 Acta Sci. Math., 50
(1986), 5—14 Involution algebras and the Anderson—Divinsky—Sulinski property NV LOI and …

Betsch and Kaarli [5] have shown that any radical class of nearrings which has a hereditary
semisimple class must be supernilpotent, ie it has to contain all the zero near-rings. The …

In 1978 Anderson and Gardner investigated semisimple classes and recently Buys and
Gerber developed the theory of special radicals in Andrunakievich varieties. In this note we …

Later developments based on some ideas of Andrunachievici: Special radicals and The Lemma
Page 1 BULETINUL ACADEMIEI DE STIINTE A REPUBLICII MOLDOVA. MATEMATICA …

Let Q be a fixed commutative and associative ring with 1. In this paper the word ring will
always mean a not necessarily associative Q-operator ring (that is, 0-algebra). In particular …

Kurosh-Amitsur radical theories have been developed for various algebraic structures.
Whenever the notion of a normal substructure is not transitive, this causes quite some …

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Publisher Summary This chapter discusses the abstract theory of radicals. The concept of
radical classes has proved to be so wide that it not only includes the classical radicals of …

One of Kostia Beidar's many research fields was the theory of radicals, concrete and general
ones, and the structure of rings which are radical-free relative to a certain radical or which …

We prove lemmas in Andrunakievich s-varieties on the transitivity of the relation “is an ideal
of” and concerning subdirectly irreducible factor rings. Applying these lemmas we show that …