Anneaux d'invariants de groupes finis Intersections complètes
Anneaux locaux et unisériels
Appendice à l'article précédent par Ph. Nuss: Une formule de Künneth pour la décomposition de l'homologie cyclique des algèbres commutatives.
Arithmetic euclidean rings
Arithmetic functions over rings with zero divisors.
Arithmetic of block monoids
Arithmetic of non-principal orders in algebraic number fields
Let be an order in an algebraic number field. If is a principal order, then many explicit results on its arithmetic are available. Among others, is half-factorial if and only if the class group of has at most two elements. Much less is known for non-principal orders. Using a new semigroup theoretical approach, we study half-factoriality and further arithmetical properties for non-principal orders in algebraic number fields.
Arithmetic progressions in a unique factorization domain
Arithmetical properties of finite rings and algebras, and analytic number theory. III. Finite modules and algebras over Dedekind domains.
Arithmetical quadratic surfaces of genus 0, II.
Artin's conjecture on primes with prescribed primitive roots
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
Balanced projective dimension of modules
Bar-invariant bases of the quantum cluster algebra of type
We construct bar-invariant -bases of the quantum cluster algebra of the valued quiver , one of which coincides with the quantum analogue of the basis of the corresponding cluster algebra discussed in P. Sherman, A. Zelevinsky: Positivity and canonical bases in rank 2 cluster algebras of finite and affine types, Moscow Math. J., 4, 2004, 947–974.
Bases for integer-valued polynomials in a Galois field
Betti numbers of monomial ideals and shifted skew shapes.
Birings and plethories of integer-valued polynomials
Let and be commutative rings with identity. An --biring is an -algebra together with a lift of the functor from -algebras to sets to a functor from -algebras to -algebras. An -plethory is a monoid object in the monoidal category, equipped with the composition product, of --birings. The polynomial ring is an initial object in the category of such structures. The -algebra has such a structure if is a domain such that the natural -algebra homomorphism is an isomorphism for...
Borel ideals in three variables.
Bornes pour la régularité de Castelnuovo-Mumford des schémas non lisses
Nous montrons dans cet article des bornes pour la régularité de Castelnuovo-Mumford d’un schéma admettant des singularités, en fonction des degrés des équations définissant le schéma, de sa dimension et de la dimension de son lieu singulier. Dans le cas où les singularités sont isolées, nous améliorons la borne fournie par Chardin et Ulrich et dans le cas général, nous établissons une borne doublement exponentielle en la dimension du lieu singulier.