P. VAMOS [11] has defned and studied'finitely embedded modules' as the dual of'finitely
generated modules'. JANS [4] called them as co finitely generated modules and defined a …

For a fixed given right R-module M, so-called M-flat left R-modules are investigated, which
are flat relative to short exact sequences in the subcategory σ [M] subgenerated by M. The …

Several authors have studied the filtered colimit closure \varinjlimB of a class B of finitely
presented modules. Lenzing called \varinjlimB the category of modules with support in B …

Throughout this paper all rings considered will be commutative rings with identity. We shall
consider the consequences for a ring of the flatness of certain classes of its modules. Since …

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

We carry out an extensive study of modules MR with the property that M/f (M) is singular for
all injective endomorphisms f of M. Such modules called “quasi co-Hopfian”, generalize co …

In this note we show that a countable injective module is $\sum $-injective and consequently
a ring $ R $ is left noetherian if the category of left $ R $-modules has a countable injective …

Alt the rings we consider will be associative with 1~ 0; all the ring homomorphisms will be
required to preserve the identity elements. All the modules we consider will be unitary …

We develop some basic functorial techniques for the study of the categories of comodules
over corings. In particular, we prove that the induction functor stemming from every …

Let R be a commutative ring with unit, and let E be an R-module. We say the functor of R-
modules E, defined by E (B)= E⊗ RB, is a quasi-coherent R-module, and its dual E* is an R …