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.
Preservation of the properties of the polynomial ring of the power series ring in the class of finite conductor rings.
Pretty cleanness and filter-regular sequences
Let be a field and . Let be a monomial ideal of and be monomials in . We prove that if form a filter-regular sequence on , then is pretty clean if and only if is pretty clean. Also, we show that if form a filter-regular sequence on , then Stanley’s conjecture is true for if and only if it is true for . Finally, we prove that if is a minimal set of generators for which form either a -sequence, proper sequence or strong -sequence (with respect to the reverse lexicographic...
Primary decomposition of modules over Dedekind domains using Gröbner bases.
Primary decomposition of torsion -modules.
Primary elements in Prüfer lattices
In this paper we study primary elements in Prüfer lattices and characterize -lattices in terms of Prüfer lattices. Next we study weak ZPI-lattices and characterize almost principal element lattices and principal element lattices in terms of ZPI-lattices.
Primary ideals with finitely generated radical in a commutative ring.
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.
Prime ideals in universal algebras
Prime sequences and distributivity in local Noether lattices
Prime, weakly prime and almost prime elements in multiplication lattice modules
In this paper, we study multiplication lattice modules. We establish a new multiplication over elements of a multiplication lattice module.With this multiplication, we characterize idempotent element, prime element, weakly prime element and almost prime element in multiplication lattice modules.
Primitive elements in rings of holomorphic functions.
Primitives des fonctions élémentaires
Primitivity in Differential Operator Rings.
Principal ideal theorems for holomorphy rings in fields.