References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

This is the first extensive treatment of the theory of corings and their comodules. In the first
part, the module-theoretic aspects of coalgebras over commutative rings are described …

To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

Let R be a ring, Let A, C be left R-modules and f: A-+ C an epimorphism. f is called pure if
Hom (M, f): Hom.(M, A)-+ Hom,(M, C) is an epimorphism for all finitely presented left R …

Drinfeld recently suggested to replace projective modules by the flat Mittag-Leffler ones in
the definition of an infinite dimensional vector bundle on a scheme X (Drinfeld, 2006 [8]) …

Relative coherence and preenvelopes Page 1 manuscripta math. 81, 243- 262 (1993)
manuscripta mathematica 9 Springer rlag 1993 RELATIVE COHERENCE AND …

Let R be a valuation ring and let Q be its total quotient ring. It is proved that any singly
projective (respectively flat) module is finitely projective if and only if Q is maximal …

Covers and Envelopes via Endoproperties of Modules Page 1 COVERS AND ENVELOPES VIA
ENDOPROPERTIES OF MODULES LIDIA ANGELERI-HUÈ GEL Precovers and preenvelopes …

It is well known that the category of right comodules over an A-coring, A an associative ring,
is a subcategory of the category of left modules over the dual ring. The main purpose of this …

We unify and generalize different notions of local units and local projectivity. We investigate
the connection between these properties by constructing elementary algebras from locally …