Algebraic number fields with the principal ideal condition
Algebras with finitely generated invariant subalgebras
We classify all finitely generated integral algebras with a rational action of a reductive group such that any invariant subalgebra is finitely generated. Some results on affine embeddings of homogeneous spaces are also given.
Algébricité des fonctions méromorphes prenant certaines valeurs algébriques
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.
Alphabetical list of contributors of volume 37 (2008)
An algorithm for computing the kernel of a locally finite higher derivation up to a certain degree
This paper gives an algorithm for computing the kernel of a locally finite higher derivation on the polynomial ring k[x₁,..., xₙ] up to a given bound.
An algorithm to compute the kernel of a derivation up to a certain degree
An algorithm is described which computes generators of the kernel of derivations on k[X₁,...,Xₙ] up to a previously given bound. For w-homogeneous derivations it is shown that if the algorithm computes a generating set for the kernel then this set is minimal.
An application of classical invariant theory to identifiability in nonparametric mixtures
It is known that the identifiability of multivariate mixtures reduces to a question in algebraic geometry. We solve the question by studying certain generators in the ring of polynomials in vector variables, invariant under the action of the symmetric group.
An application of modules of generalized fractions to grades of ideals and Gorenstein rings
An application of type sequences to the blowing-up.
An approximation theorem for Dubrovin valuation rings.
An elementary proof of the Weitzenböck Theorem
An extension of approximation theorems
An improved Briancon-Skoda theorem with applications to the Cohen-Macaulayness of Rees algebras.
Anelli di frazioni fortemente valutativi
Anneaux à Spir compact
Anneaux méta-noethériens
Approximate roots of a valuation and the Pierce-Birkhoff conjecture
In this paper, we construct an object, called a system of approximate roots of a valuation, centered in a regular local ring, which describes the fine structure of the valuation (namely, its valuation ideals and the graded algebra). We apply this construction to valuations associated to a point of the real spectrum of a regular local ring . We give two versions of the construction: the first, much simpler, in a special case (roughly speaking, that of rank 1 valuations), the second – in the case...