Because traditional ring theory places restrictive hypotheses on all submodules of a module,
its results apply only to small classes of already well understood examples. Often, modules …

Let R be an associative ring with identity, and let denote the category of unital left R-
modules. It is known that if R is a commutative, Noetherian ring, then the maximal torsion …

On rings with trivial torsion parts Page 1 BULL. AUSTRAL. MATH. SOC. I8A40 VOL. 9 (1973),
275-290. (I6AI2 ' 16A32) On rings with trivial torsion parts L. Bican, P. Jambor, T. Kepka, P …

Introduction. All rings occurring are associative and possess a unity, which is preserved
under subrings and ring homomorphisms. All modules are unitary right modules. We denote …

In this paper we continue the study of associative rings by means of lattices of orthogonal
theories. The general concept of an orthogonal theory was introduced in [11]. There are at …

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.) …

All rings are assumed to have identity elements and all modules are unital. Let R be a ring.
Gabriel [g] and Maranda [20] have shown that there is a bijective correspondence between …

Torsion theories, introduced in [4], have become a widespread and effective tool of
contemporary theory of rings and modules. In [8], a generaHzation of the notion of a torsion …

de M à Pest Hom R (P, M)® E P. Ensuite. on obtient des conditions• équivalentes pour que
le foncteur colocalisation soit exact: Le colocalisé de R étant un anneau associatü, en …

Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 26, Issue 1 1984 Article 21 JANUARY 1984 On completely torsionfree …