… a theory of additive semantics. Roughly speaking, this tells us how to approximate an additive
… of ring of quotients relative to a given torsion theory. This agrees with definitions given by …

… theory of additive semantics. Roughly speaking, this tells us how to approximate an additive
… espondunce between torsion theories and idempotent filters: to any torsion theory associate …

… Given a torsion theory onModR, let A be the full subcategory of ModR … torsion theory 1:...
In particular, when T is (i) the usual torsion theory for an integral domain, (ii) the torsion theory …

… torsion theory is of this form. 4. For any ring R, the smallest torsion theory in which a given
simple module is torsion … For any ring R, the largest torsion theory in which all essential right …

Torsion theories have proved a very useful tool in the theory of abelian categories; for … and
in ring theory (Lambek [5]). It is the purpose of this paper to initiate an analogous theory for non…

… Torsion Theories We assume that the reader is familiar with [I41 and [GI, and we follow the
… To every torsion class T there is associated a quotient functor Q, which we subscript with the …

… This paper links several notions of torsion theory with com… We denote by (j , j) a torsion theory
over a ring A. We recall that if ft … Lambek, Torsion theories, additive semantics, and rings of …

… of the correspondence between torsion theories and closure … was predominantly concerned
with torsion theories for R-… Their easy relation with torsion theories follows in Section 4, …

… In this paper a torsion theory at which each induced sequence is left exact is said … In ~2 we
consider when a torsion theory is left exact. … In this paper we call such a torsion theory abelian. …

… In- the discussion which follows we confine our attention to a given torsion theory with …
Lambek, Torsion theories, additive semantics, and rings of quotients, Lecture Notes in Math., no. …