Unique Factorization of Arithmetic Functions
Unit fractions in fields
Unit groups of cube radical zero commutative completely primary finite rings.
Unitary independence in the study of finitely generated and of finite rank torsion-free modules over a valuation domain
Universal mapping properties of some pseudovaluation domains and related quasilocal domains.
Universally catenarian domains of D M type. II.
Universally Koszul algebras defined by monomials
Universelle Eigenschaften der Wittschen Vektoren und der Einseinheitenalgebra einer Potenzreihenalgebra in einer Veränderlichen.
Unmixed bipartite graphs.
Unobstructedness and dimension of families of Gorenstein algebras.
The goal of this paper is to develop tools to study maximal families of Gorenstein quotients A of a polynomial ring R. We prove a very general theorem on deformations of the homogeneous coordinate ring of a scheme Proj(A) which is defined as the degeneracy locus of a regular section of the dual of some sheaf M of rank r supported on say an arithmetically Cohen-Macaulay subscheme Proj(B) of Proj(R). Under certain conditions (notably; M maximally Cohen-Macaulay and ∧r M ≈ KB(t) a twist of the canonical...
Unramified Kummer extensions of prime power degree.
Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
Let R be a commutative Noetherian ring, I a proper ideal of R, and M be a finitely generated R-module. We provide bounds for the cohomological dimension of the R-module M with respect to the ideal I in several cases.
Upper Bounds for the Degrees of the Equations Defining Locally Cohen-Macaulay Schemes.
Uppers to zero in and almost principal ideals
Let be an integral domain with quotient field and a polynomial of positive degree in . In this paper we develop a method for studying almost principal uppers to zero ideals. More precisely, we prove that uppers to zero divisorial ideals of the form are almost principal in the following two cases: – , the ideal generated by the leading coefficients of , satisfies . – as the -submodule of is of finite type. Furthermore we prove that for we have: – . – If there exists , then ...