Modules with Unique Closure Relative to a Torsion Theory Page 1 Canad. Math. Bull. Vol. 53
(2), 2010 pp. 230–238 doi:10.4153/CMB-2010-012-9 c©Canadian Mathematical Society 2009 …

Modules With Unique Closure Relative to a Torsion Theory II Page 1 Turkish Journal of
Mathematics Volume 33 Number 2 Article 2 1-1-2009 Modules With Unique Closure Relative …

Let (𝒯, ℱ) denote a hereditary torsion theory for the category of modules over a ring R. In this
paper the splitting of projective modules is studied, and it is shown that this is not equivalent …

Let R be an associative ring with identity. The purpose of this paper is to establish relative
cohomology theories based on cotorsion pairs in the setting of unbounded complexes of …

Let R be a ring, na fixed nonnegative integer and FP n (F n) the class of all left (right) R-
modules of FP-injective (flat) dimensions at most n. A left R-module M (resp., right R-module …

If R is a right noetherian ring, the decomposition of an injective module, as a direct sum of
uniform submodules, is well known. Also, this property characterises this kind of ring. ML …

For a hereditary torsion theory τ, a module is called τ-divisible if it is injective with respect to
every monomorphism having a τ-torsionfree cokernel. Alongside of some properties of the …

Over a commutative noetherian ring R of finite Krull dimension, we show that every complex
of flat cotorsion R-modules decomposes as a direct sum of a minimal complex and a …

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 …

Given a hereditary torsion theory on the category Mod R of right R-modules we obtain in this
paper necessary and sufficient conditions for the direct sum of a given family of R-modules …