In this paper, we study rings on groups from the class QD 1 of quotient divisible abelian
groups of rank 1. The Jacobson radical and the upper nil-radical of rings on groups from QD …

The correspondence between radicals of associative rings and A-radicals is studied. It is
shown that corresponding to each A-radical there is an interval of radicals and that each …

A radical γ is prime-like if, for every prime ring A, the polynomial ring A [x] is γ-semisimple. In
this paper, we study properties of prime-like radicals. In particular, we give necessary and …

Motivated by some results and concepts from radical theory for abelian groups, we
investigate the radical classes R of associative rings for which there is an infinite cardinal …

We prove that a left strong radical', which is principally right hereditary, is principally left
hereditary, and construct an example of a principally right hereditary radical which is not …

Radical classes of commutative rings defined in terms of the adjoint operation Page 1
COMMUNICATIONS IN ALGEBRA, 22(13), 5533-5548 (1994) RADICAL CLASSES OF …

In the present, third survey of reviews of articles on Abelian groups are included papers
reviewed during 1972–1978. Here, as in the previous surveys, the questions concerning …

This survey is a continuation of a series of surveys on the theory of rings and modules.
Results on the theory of associative rings covered in Referativnyi Zhurnal “Matematika” …

We consider biideal versions of conditions imposed on left (and/or right) ideals which latter
characterize normal radicals. It is proved that the bistrong and principally bi-hereditary …

This thesis is a study of radical ideals in restricted domains of associative rings. The first
chapter introduces a generalisation of the concept of strictness, and studies, for a given …