Intersections d'anneaux de Mori - exemples
Invertible prime ideals and partial fractions.
Isomorphic Chevalley groups over integral domains
Krull dimension and integrality of symmetric algebras.
Les idéaux premiers de l'anneau des polynomes à valeurs entières.
Local D-Rings.
Maximal non valuation domains in an integral domain
Let be a commutative ring with unity. The notion of maximal non valuation domain in an integral domain is introduced and characterized. A proper subring of an integral domain is called a maximal non valuation domain in if is not a valuation subring of , and for any ring such that , is a valuation subring of . For a local domain , the equivalence of an integrally closed maximal non VD in and a maximal non local subring of is established. The relation between and the number...
Maximal non-pseudovaluation subrings of an integral domain
The notion of maximal non-pseudovaluation subring of an integral domain is introduced and studied. Let be an extension of domains. Then is called a maximal non-pseudovaluation subring of if is not a pseudovaluation subring of , and for any ring such that , is a pseudovaluation subring of . We show that if is not local, then there no such exists between and . We also characterize maximal non-pseudovaluation subrings of a local integral domain.
Note on the transitivity of pure essential extensions
On 3-semigroups and 3-groups polynomial-derived from integral domains.
On a non-vanishing Ext
On a Retract of an Integral Domain.
On block irreducible forms over Euclidean domains.
On chains of centered valuations.
On Factorization into Prime Ideals
On Finite Conductor Domains.
On finitely generated birational flat extensions of integral domains
On Ideal Theory in High Prufer Domains.
On locally divided integral domains and CPI-overrings.
On -ideals of groups of divisibility