The theory of rings of quotients has its origin in the work of (j). Ore and K. Asano on the
construction of the total ring of fractions, in the 1930's and 40's. But the subject did not really …

We introduce the notion of torsion-simple objects in an abelian category: these are the
objects which are always either torsion or torsion-free with respect to any torsion pair. We …

R always stands for an associative ring with identity and R-Mod is the category of all unitary
left R-modules. The injective hull of a module M is denoted by£(М), the direct product (sum) …

Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 24, Issue 2 1982 Article 3 DECEMBER 1982 On strongly prime modules …

Commentationes Mathematicae Universitatis Carolinae Page 1 Commentationes Mathematicae
Universitatis Carolinae Tomáš Kepka Notes on radical filters of ideals Commentationes …

In [11] we havestudied those rings with trivial preradical ideals. Dually in this paper, we shall
investigate rings for which every nonzero (idempotent, left exact or cohereditary, etc.) …

In this paper, there are determined the commutative, associative rings with unity, where
every tensororthogonal theory for R-mod is hereditary. The corollaries give an estimate of …

Our purpose is to study those rings without non-trivial preradicai ideals of idempotent
preradicals (or exact radicals), supplying the cases of idempotent radicals by [2], of left exact …

In the previous paper [g] we have introduced the notion of a cyclic-hereditary torsion class
for the category mod-R of unital right R-modules over a ring R with unit as a torsion class …

АННОТАЦИЯ Диссертация „О некоторых специальных конструкциях из теории
радикалов в категориях модулей” представлена Жардан Ион на соискание учёной …