A theory of multiplicity for multiplictive filtrations.
A uniform Artin-Rees theorem and Zariski's main lemma on holomorphic functions.
A “-operation free” approach to Prüfer -multiplication domains.
Actions of finite groups on C*-algebras.
Alcune proprietà delle varietà algebriche reali
Algebra Structure on Minimal Resolutions of Gorenstein Rings of Embedding Codimension Four.
Algebraic number fields with the principal ideal condition
Almost Prüfer v-multiplication domains and the ring
This paper is a continuation of the investigation of almost Prüfer v-multiplication domains (APVMDs) begun by Li [Algebra Colloq., to appear]. We show that an integral domain D is an APVMD if and only if D is a locally APVMD and D is well behaved. We also prove that D is an APVMD if and only if the integral closure D̅ of D is a PVMD, D ⊆ D̅ is a root extension and D is t-linked under D̅. We introduce the notion of an almost t-splitting set. denotes the ring , where S is a multiplicatively closed...
Almost -rings
In this paper we establish some new characterizations for -rings and Noetherian -rings.
Almost -lattices
In this paper we establish some conditions for an almost -domain to be a -domain. Next -lattices satisfying the union condition on primes are characterized. Using these results, some new characterizations are given for -rings.
An application of modules of generalized fractions to grades of ideals and Gorenstein rings
An extension of approximation theorems
Anelli di frazioni fortemente valutativi
Anneaux à Spir compact
Anneaux méta-noethériens
Archimedean frames, revisited
This paper extends the notion of an archimedean frame to frames which are not necessarily algebraic. The new notion is called joinfitness and is Choice-free. Assuming the Axiom of Choice and for compact normal algebraic frames, the new and the old coincide. There is a subfunctor from the category of compact normal frames with skeletal maps with joinfit values, which is almost a coreflection. Conditions making it so are briefly discussed. The concept of an infinitesimal element arises naturally,...
Associated Graded Rings Derived from Integrally Closed Ideals and the Local Homological Conjectures
Associated primes of local cohomology modules of generalized Laskerian modules
Let be a set of ideals of a commutative Noetherian ring . We use the notion of -closure operation which is a semiprime closure operation on submodules of modules to introduce the class of -Laskerian modules. This enables us to investigate the set of associated prime ideals of certain -closed submodules of local cohomology modules.
Asymptotic behaviour of monomial ideals on regular sequences.
Autour des idéaux premiers de Goldman d'un anneau commutatif