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A Characterization of Closure Operations That Induce Big Cohen-Macaulay Modules

Mathematics – Commutative Algebra
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A characterization of Gorenstein Hilbert functions in codimension four with small initial degree

Mathematics – Commutative Algebra
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A characterization of Keller maps

Mathematics – Commutative Algebra
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A characterization of modules locally of finite injective dimension

Mathematics – Commutative Algebra
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A Chevalley theorem for difference equations

Mathematics – Commutative Algebra
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A class of hypergraphs that generalizes chordal graphs

Mathematics – Commutative Algebra
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A class of transversal polymatroids with Gorenstein base ring

Mathematics – Commutative Algebra
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A classification of Artin-Schreier defect extensions and a characterization of defectless fields

Mathematics – Commutative Algebra
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A classification of one-dimensional local domains based on the invariant $(c-δ)r-δ$

Mathematics – Commutative Algebra
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A Cohen-Macaulay algebra has only finitely many semidualizing modules

Mathematics – Commutative Algebra
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A cohomological study of local rings of embedding codepth 3

Mathematics – Commutative Algebra
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A Combinatorial Approach to Involution and delta-Regularity I: Involutive Bases in Polynomial Algebras of Solvable Type

Mathematics – Commutative Algebra
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A Combinatorial Approach to Involution and delta-Regularity II: Structure Analysis of Polynomial Modules with Pommaret Base

Mathematics – Commutative Algebra
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A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings

Mathematics – Commutative Algebra
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A commutative algebraic approach to the fitting problem

Mathematics – Commutative Algebra
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A computation of tight closure in diagonal hypersurfaces

Mathematics – Commutative Algebra
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A Computational Solution to a Question by Beauville on the Invariants of the Binary Quintic

Mathematics – Commutative Algebra
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A conjecture of Herzog and Conca on counting of paths

Mathematics – Commutative Algebra
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A conjecture on critical graphs and connections to the persistence of associated primes

Mathematics – Commutative Algebra
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A conjecture on the Poincar{é}-Betti series of modules of differential operators on a generic hyperplane arrangement

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