Artin's Theorem on the Solutions of Analytic Equations in Positive Characteristic.
Associate forms, joins, multiplicities and an intrinsic elimination theory
Associated graded rings and connected sums
In 2012, Ananthnarayan, Avramov and Moore gave a new construction of Gorenstein rings from two Gorenstein local rings, called their connected sum. In this article, we investigate conditions on the associated graded ring of a Gorenstein Artin local ring , which force it to be a connected sum over its residue field. In particular, we recover some results regarding short, and stretched, Gorenstein Artin rings. Finally, using these decompositions, we obtain results about the rationality of the Poincaré...
Associated Graded Rings Derived from Integrally Closed Ideals and the Local Homological Conjectures
Associated primes and primal decomposition of modules over commutative rings
Let R be a commutative ring and let M be an R-module. The aim of this paper is to establish an efficient decomposition of a proper submodule N of M as an intersection of primal submodules. We prove the existence of a canonical primal decomposition, , where the intersection is taken over the isolated components of N that are primal submodules having distinct and incomparable adjoint prime ideals . Using this decomposition, we prove that for ∈ Supp(M/N), the submodule N is an intersection of -primal...
Associated primes, integral closures and ideal topologies
Let ⊆ be ideals of a Noetherian ring R, and let N be a non-zero finitely generated R-module. The set Q̅*(,N) of quintasymptotic primes of with respect to N was originally introduced by McAdam. Also, it has been shown by Naghipour and Schenzel that the set of associated primes is finite. The purpose of this paper is to show that the topology on N defined by is finer than the topology defined by if and only if is disjoint from the quintasymptotic primes of with respect to N. Moreover, we show...
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.
Asymptotic Hölder absolute values.
Atomicity and the fixed divisor in certain pullback constructions
Let D be an integral domain with field of fractions K. In this article, we use a certain pullback construction in the spirit of Int(E,D) that furnishes many examples of domains between D[x] and K[x] in which there are elements that do not admit a finite factorization into irreducible elements. We also define the notion of a fixed divisor for this pullback construction to characterize all of its irreducible elements and those nonzero nonunits that do admit a finite factorization into irreducibles....
Automata and the arithmetic of formal power series
Automaticity of rational functions.
Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm
2000 Mathematics Subject Classification: 17A50, 05C05.In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).
«Autopsie d'un meurtre» dans l'homologie d'une algèbre de chaînes
Autour des idéaux premiers de Goldman d'un anneau commutatif
Autre Demonstration du theoreme Liant regularité et paltitude en caracteristique p.
Avoidance principle and intersection property for a class of rings
Let be a commutative ring with identity. If a ring is contained in an arbitrary union of rings, then is contained in one of them under various conditions. Similarly, if an arbitrary intersection of rings is contained in , then contains one of them under various conditions.
Babylonian Tower Theorems on the Punctured Spectrum.
Baker-Akhiezer modules on rational varieties.
Balanced projective dimension of modules