Parts of reducing systems of parameters.
Pathological maximal R-sequences in quasilocal domains
Perfect Modules.
Pojective exterior Koszul homology and decomposititon of the Tor fonctor.
Polynômes de Barsky
Polynomial fibre rings of algebras over noetherian rings.
Polynomial rings over Jacobson-Hilbert rings.
All rings considered are commutative with unit. A ring R is SISI (in Vámos' terminology) if every subdirectly irreducible factor ring R/I is self-injective. SISI rings include Noetherian rings, Morita rings and almost maximal valuation rings ([V1]). In [F3] we raised the question of whether a polynomial ring R[x] over a SISI ring R is again SISI. In this paper we show this is not the case.
Polynomial rings with coefficients in an intersection of fibred products. (Anneaux de polynômes à coefficients dans une intersection de produits fibrés.)
Porjective Modules over Polynomial Rings.
p-Ranks of Class Groups in Zdp-Extensions.
Precobalanced and cobalanced sequences of modules over domains
The class of pure submodules () and torsion-free images () of finite direct sums of submodules of the quotient field of an integral domain were first investigated by M. C. R. Butler for the ring of integers (1965). In this case and short exact sequences of such modules are both prebalanced and precobalanced. This does not hold for integral domains in general. In this paper the notion of precobalanced sequences of modules is further investigated. It is shown that as in the case for abelian groups...
Premiers, copremiers et fibrés
Prescribing endomorphism algebras of -free modules
It is a well-known fact that modules over a commutative ring in general cannot be classified, and it is also well-known that we have to impose severe restrictions on either the ring or on the class of modules to solve this problem. One of the restrictions on the modules comes from freeness assumptions which have been intensively studied in recent decades. Two interesting, distinct but typical examples are the papers by Blass [1] and Eklof [8], both jointly with Shelah. In the first case the authors...
Prescribing endomorphism algebras. The cotorsion-free case
Presentation depth and the Lipman-Sathaye Jacobian theorem.
Primary decomposition of torsion -modules.
Prime and primary submodules of certain modules
In this paper we characterize all prime and primary submodules of the free -module for a principal ideal domain and find the minimal primary decomposition of any submodule of . In the case , we also determine the height of prime submodules.
Profondeur d’anneaux d’invariants en caractéristique
Projective covers and minimal free resolutions.
Projective modules and approximation couples