AbstractFlat morphisms from A to B (commutative and unitary rings) such that the multiplication B⊗AB→B is flat, have many of the properties of ind-etale morphisms. They don't raise weak dimension. As a consequence they preserve integral closure. In the local case they are the extensions of A that have the same strict henselian extensions as A
AbstractThis article is intended to answer a question of Heinzer and Ohm: Let R be a commutative rin...
We provide an exposition of the canonical self-duality associated to a presentation of a finite, fla...
AbstractNumerical invariants which measure the Cohen–Macaulay character of homomorphismsϕ:R→Sof noet...
AbstractFlat morphisms from A to B (commutative and unitary rings) such that the multiplication B⊗AB...
AbstractThe new intersection theorem is used to derive a criteria for flat descent in the setting of...
AbstractEvery module has a minimal pure injective resolution. For a flat modul over a noetherian rin...
AbstractAbsolutely integral algebras over a field are the subject of a chapter in Field Theory. They...
Absolute integral closures of general commutative unital rings are explored. All rings admit absolut...
International audienceLet A -> B be a morphism of Artin local rings with the same embedding dimensio...
AbstractThe flat cover conjecture, saying that every module has a flat (pre)cover, has been recently...
summary:In this paper, we study the class of rings in which every flat ideal is projective. We inv...
summary:In this paper, we study the class of rings in which every flat ideal is projective. We inv...
AbstractThe relationship between flatness and LCM-stability is clarified by the following two result...
Abstract. We prove that if f: (R,m) → (S, n) is a flat local homomorphism, S/mS is Cohen-Macaulay an...
Let p be a prime ideal in a commutative noetherian ring R and denote by k(p) the residue field of th...
AbstractThis article is intended to answer a question of Heinzer and Ohm: Let R be a commutative rin...
We provide an exposition of the canonical self-duality associated to a presentation of a finite, fla...
AbstractNumerical invariants which measure the Cohen–Macaulay character of homomorphismsϕ:R→Sof noet...
AbstractFlat morphisms from A to B (commutative and unitary rings) such that the multiplication B⊗AB...
AbstractThe new intersection theorem is used to derive a criteria for flat descent in the setting of...
AbstractEvery module has a minimal pure injective resolution. For a flat modul over a noetherian rin...
AbstractAbsolutely integral algebras over a field are the subject of a chapter in Field Theory. They...
Absolute integral closures of general commutative unital rings are explored. All rings admit absolut...
International audienceLet A -> B be a morphism of Artin local rings with the same embedding dimensio...
AbstractThe flat cover conjecture, saying that every module has a flat (pre)cover, has been recently...
summary:In this paper, we study the class of rings in which every flat ideal is projective. We inv...
summary:In this paper, we study the class of rings in which every flat ideal is projective. We inv...
AbstractThe relationship between flatness and LCM-stability is clarified by the following two result...
Abstract. We prove that if f: (R,m) → (S, n) is a flat local homomorphism, S/mS is Cohen-Macaulay an...
Let p be a prime ideal in a commutative noetherian ring R and denote by k(p) the residue field of th...
AbstractThis article is intended to answer a question of Heinzer and Ohm: Let R be a commutative rin...
We provide an exposition of the canonical self-duality associated to a presentation of a finite, fla...
AbstractNumerical invariants which measure the Cohen–Macaulay character of homomorphismsϕ:R→Sof noet...
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