… theory of modules over discrete valuation domains. Chapter 3 is devoted to some questions
about endomorphism rings of divisible primary modules and complete torsion-free modules. …

… Then we prove the existence and uniqueness of minimal models over a discrete valuation
ring, in the case when the genus of the generic fiber is greater than zero. (Otherwise, we have …

1. Introduction. In this paper we prove a structure theorem for reduced countably generated
R-modules of finite rank, where R is a complete discrete valuation ring (eg, the p-adic …

… We introduce two new classes of mixed modules over a discrete valuation ring, and a new
… R will be a discrete valuation ring, R will be the ring regarded as a module over itself, and p …

… a discrete valuation ring … modules of rank one over a discrete valuation ring has been
established in [6] (such an existence theorem can also be obtained using properties of the module …

… generated module over an almost-maximal valuation ring is a direct sum of cyclic modules;
this … Since Rp is a principal ideal ring (indeed a discrete valuation ring), this makes the known …

… rings of torsion—free reduced modules over complete discrete valuation rings, ie B.
Goldsmith commutative principal ideal rings with exactly one prime element up to unit factors. …

… manner as reduced modules over a complete discrete valuation ring, namely, the ring of p-…
Let R be a complete discrete valuation ring, and M and M’ countably generated redwed R …

… In Section 2 we assume that S is a discrete valuation ring (DVR). In this special case the …
over S (in the usual sense). Again this is all in the case where S is a discrete valuation ring. In …

… modules which are direct sums of countably generated modules over complete discrete
valuation rings… let R denote a fixed but arbitrary complete discrete valuation ring and p a fixed but …