Results 1 to 10 of about 7,933 (75)
Non-compact subsets of the Zariski space of an integral domain [PDF]
, 2016 Let $V$ be a minimal valuation overring of an integral domain $D$ and let $\mathrm{Zar}(D)$ be the Zariski space of the valuation overrings of $D$. Starting from a result in the theory of semistar operations, we prove a criterion under which the set ...
Spirito, Dario
core +2 more sources
An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations [PDF]
, 2006 An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operationsComment: "Multiplicative Ideal Theory in Commutative Algebra: A tribute to the work of Robert Gilmer", Jim Brewer, Sarah Glaz, William Heinzer ...
Fontana, Marco, Loper, K. Alan
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Noether normalizations, reductions of ideals, and matroids [PDF]
, 2010 We show that given a finitely generated standard-graded algebra of dimension $d$ over an infinite field, its graded Noether normalizations obey a certain kind of `generic exchange', allowing one to pass between any two of them in at most $d$ steps.
Brennan, Joseph P., Epstein, Neil
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Non-triviality conditions for integer-valued polynomial rings on algebras [PDF]
, 2016 Let $D$ be a commutative domain with field of fractions $K$ and let $A$ be a torsion-free $D$-algebra such that $A \cap K = D$. The ring of integer-valued polynomials on $A$ with coefficients in $K$ is $\Int_K(A) = \{f \in K[X] \mid f(A) \subseteq A ...
Peruginelli, Giulio +1 more
core +2 more sources
Topological properties of semigroup primes of a commutative ring
, 2017 A semigroup prime of a commutative ring $R$ is a prime ideal of the semigroup $(R,\cdot)$. One of the purposes of this paper is to study, from a topological point of view, the space $\scal(R)$ of prime semigroups of $R$.
Finocchiaro, Carmelo A. +2 more
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Properties of chains of prime ideals in an amalgamated algebra along an ideal
, 2010 Let $f:A \to B$ be a ring homomorphism and let $J$ be an ideal of $B$. In this paper, we study the amalgamation of $A$ with $B$ along $J$ with respect to $f$ (denoted by ${A\Join^fJ}$), a construction that provides a general frame for studying the ...
D'Anna, Marco +2 more
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New distinguished classes of spectral spaces: a survey
, 2015 In the present survey paper, we present several new classes of Hochster's spectral spaces "occurring in nature", actually in multiplicative ideal theory, and not linked to or realized in an explicit way by prime spectra of rings.
A Grothendieck +38 more
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Liftable derivations for generically separably algebraic morphisms of schemes
, 2006 We consider dominant, generically algebraic, and tamely ramified (if the characteristic is positive) morphisms $\pi: X/S \to Y/S$, where Y,S are Noetherian and integral and X is a Krull scheme (e.g.
Källström, Rolf
core +4 more sources
Integer-valued polynomials over matrices and divided differences
, 2013 Let $D$ be an integrally closed domain with quotient field $K$ and $n$ a positive integer. We give a characterization of the polynomials in $K[X]$ which are integer-valued over the set of matrices $M_n(D)$ in terms of their divided differences.
Peruginelli, Giulio
core +3 more sources
Methods for Computing Normalisations of Affine Rings
, 2003 Our main purpose is to give multiple examples for using the available implementations for computing the normalization of an affine ring, computing the minimial generators of the normalization as an algebra over the original ring and integral closures of ...
Taylor, Amelia
core +2 more sources