AbstractWe study some properties of regularity of homomorphisms of local rings of positive equicharacteristic. In particular we extend a theorem of Izumi about the linear equivalence of topologies in this case. The main tool we use is a monomialization theorem for homomorphisms of power series in positive characteristic
If (R,M) and (S,N) are quasilocal (commutative integral) domains and f: R → S is a (unital) ring hom...
Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Kosz...
International audienceWe prove the weak functoriality of (big) Cohen-Macaulay algebras, which contro...
AbstractWe study some properties of regularity of homomorphisms of local rings of positive equichara...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
ABSTRACT. In this paper, various Homological Conjectures are studied for local rings which are local...
We show that the F-signature of a local ring of characteristic p, defined by Huneke and Leuschke, is...
Abstract. The notions of Betti numbers and of Bass numbers of a ¯nite mod-ule N over a local ring R ...
We investigate the transfer of regularity between commutative, noetherian, local rings through a cla...
. Numerical invariants which measure the Cohen--Macaulay character of homomorphisms ' : R ! S ...
All given rings in this paper are commutative, associative with identity, and Noetherian. Throughout...
ABSTRACT. Let R be a locally finitely generated algebra over a discrete valuation ring V of mixed ch...
AbstractLet R be a local ring essentially of finite type over a field k of characteristic p>0. In th...
AbstractIt is known that the powers mn of the maximal ideal of a local Noetherian ring share certain...
It is proved that a noetherian commutative local ring A containing a field is regular if there is a ...
If (R,M) and (S,N) are quasilocal (commutative integral) domains and f: R → S is a (unital) ring hom...
Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Kosz...
International audienceWe prove the weak functoriality of (big) Cohen-Macaulay algebras, which contro...
AbstractWe study some properties of regularity of homomorphisms of local rings of positive equichara...
AbstractWe study the relationship between the Tor-regularity and the local-regularity over a positiv...
ABSTRACT. In this paper, various Homological Conjectures are studied for local rings which are local...
We show that the F-signature of a local ring of characteristic p, defined by Huneke and Leuschke, is...
Abstract. The notions of Betti numbers and of Bass numbers of a ¯nite mod-ule N over a local ring R ...
We investigate the transfer of regularity between commutative, noetherian, local rings through a cla...
. Numerical invariants which measure the Cohen--Macaulay character of homomorphisms ' : R ! S ...
All given rings in this paper are commutative, associative with identity, and Noetherian. Throughout...
ABSTRACT. Let R be a locally finitely generated algebra over a discrete valuation ring V of mixed ch...
AbstractLet R be a local ring essentially of finite type over a field k of characteristic p>0. In th...
AbstractIt is known that the powers mn of the maximal ideal of a local Noetherian ring share certain...
It is proved that a noetherian commutative local ring A containing a field is regular if there is a ...
If (R,M) and (S,N) are quasilocal (commutative integral) domains and f: R → S is a (unital) ring hom...
Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Kosz...
International audienceWe prove the weak functoriality of (big) Cohen-Macaulay algebras, which contro...
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