On the Grade of Some Ideals.
On the integral closure of ideals.
On the intersection of invariant rings.
On the Length of Faithful Modules over Artinian Local Rings.
On the minimaxness and coatomicness of local cohomology modules
Let be a commutative Noetherian ring, an ideal of and an -module. We wish to investigate the relation between vanishing, finiteness, Artinianness, minimaxness and -minimaxness of local cohomology modules. We show that if is a minimax -module, then the local-global principle is valid for minimaxness of local cohomology modules. This implies that if is a nonnegative integer such that is a minimax -module for all and for all , then the set is finite. Also, if is minimax for...
On the module of homomorphisms on finitely generated projective modules
On the non-vanishing of local cohomology modules
It is shown that for any Artinian modules , is the greatest integer such that .
On the number of generators of modules over Laurent Rings.
On the number of generators of modules over polynomial affine rings.
On the Polynomial Ring over a Mori Domain
On the ring of quotients of a noetherian commutative ring with respect to the Dickson topology
On the structure of Noetherian symbolic Rees Algebras.
On the uniform behaviour of the Frobenius closures of ideals
Let be a proper ideal of a commutative Noetherian ring R of prime characteristic p and let Q() be the smallest positive integer m such that , where is the Frobenius closure of . This paper is concerned with the question whether the set is bounded. We give an affirmative answer in the case that the ideal is generated by an u.s.d-sequence c₁,..., cₙ for R such that (i) the map induced by multiplication by c₁...cₙ is an R-monomorphism; (ii) for all , c₁/1,..., cₙ/1 is a -filter regular sequence...
On Two Conjectures About Polynomial Rings.
Openly embedding local noetherian domains.
Orientations and multiplicative structures of resolutions.
Outer automorphisms of endomorphism algebras
Commutative rings over which no endomorphism algebra has an outer automorphism are studied.
Polynôme d'Hilbert-Samuel des clôtures intégrales des puissances d'un idéal m-primaire
Polynomes à valeurs entières et propriété de Skolem.
Polynômes de Barsky