We propose a notion of minimal free resolutions for differential modules, and we prove
existence and uniqueness results for such resolutions. We also take the first steps toward …

In [1], we discussed completions of differentially finitely generated modules over a
differential ring R. It was necessary that the topology of the module be induced by a …

The primary decomposition of differential modules Page 1 ANNALES SOCIETATIS
MATHEMATICAE POLONAE Series I: COMMENTATIONES MATHEMATICAE XXI (1979) …

FREE RESOLUTIONS FOR DIFFERENTIAL MODULES OVER DIFFERENTIAL ALGEBRAS T.
Kadeishvili and P. Real UDC 512.661.4 Page 1 Journal of Mathematical Sciences, Vol. 152 …

$0. Introduction. In this paper we shall give some relat~ ons between reflexive submodules
of a finitely generated module over a coherent domain and its primary submodules. Let R be …

We show that a differential module is Gorenstein projective (injective, respectively) if and
only if its underlying module is Gorenstein projective (injective, respectively). We then relate …

In this paper, we study minimal free resolutions for modules over rings of linear differential
operators. The resolutions we are interested in are adapted to a given filtration, in particular …

We call supplemented self-projective modules “strongly discrete modules.” We characterize
discrete and strongly discrete modules in terms of lifting of maps and prove some of their …

Differential modules are natural generalizations of complexes. In this paper, we study
differential modules with complete intersection homology, comparing and contrasting the …

Let Y be an I-dimensional vector space over an arbitrary field F and d an arrangement of n
hyperplanes H,,.... i7,, in V. We always assume that n> I> 1. For each i, 1~ id~ 1, we fix once …