Regarding the construction of strict and base radical classes for the variety of associative
rings, we show that “subring” and “accessible subring” are two of a number of substructures …

In this paper it is shown how nonpointed exactness provides a framework which allows a
simple categorical treatment of the basics of Kurosh–Amitsur radical theory in the …

This paper is concerned with the investigation of some interplay between the theories of
(Kurosh-Amitsur) radicals and varieties of (not necessarily associative) algebras …

This paper deals with the effect of radicals (in the Kurosh-Amitsur sense) on supplementary
semilattice sums of rings as defined by J. Weissglass (Proc. Amer. Math. Soc., 39 (1973) …

Hereditary and strict domains for radical classes of associative rings Page 1 BULL. AUSTRAL.
MATH. SOC. 16A21 VOL. 41 (1990) [255-269] HEREDITARY AND STRICT DOMAINS FOR …

Continuing the study of interactions between radical theory and corners, subrings of the form
eAe, where e is an idempotent of a ring A, we examine radicals characterized by the …

In the present paper we consider a correspondence weaker than Galois connection and
prove that this produces Kurosh–Amitsur radicals in a very general setting including all …

Regarding categories as simplicial sets via the nerve functor, we extend the notion of a
factorization system from morphisms in a category, to 1-simplexes in an arbitrary simplicial …

This research is essentially an investigation into lower radical type construction and the
consequences thereof. Dealing primarily in associative rings, the aim of this thesis is to …

This thesis details an investigation into some aspects of the nature of radical and semisimple
classes of associative rings. It deals particularly with the search and construction of pairs of …