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326 papers in math.AC · page 1
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Toric ideals encode 3-point function relations via designs and pseudomanifolds
Incidence toric ideals and three-point functions
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p-stabilization equates strong F-regularity to F-splitting for p-families
Cartier algebras through the lens of $p$-families
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Cohomology classifies bundles on real affine threefolds
On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds
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Algorithm reduces composable polynomials to polynomial-time solving
A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems
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Splitting sequences classify BCM-regular diagonal hypersurfaces
BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in mixed characteristic
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Divisibility relations bound projective dimension of ideal squares
Cellular resolutions of second powers of square-free monomial ideals with divisibility relations
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Koszul resolution yields Milnor number formula
An algebraic proof of the Milnor-Orlik theorem
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Generalized derivations match n-trivial extensions
n-trivial extensions and multi Hasse-Schmidt derivations
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t-admissible subgraphs determine regularity of symbolic powers
Critical subgraphs and the regularity of symbolic powers of cover ideals of graphs
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Finite-field Fourier spectra reduce to cyclotomic subfield products
Cyclotomic finite-field Fourier spectra: Galois descent, native subfields, and residual coding
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Determinantal ideals are Golod exactly when linearly resolved
Golod ideals in combinatorial commutative algebra
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WLP fails for chordal graphs in Orlik-Terao algebras
Subarrangements of type A: the weak Lefschetz property of the Artinian Orlik-Terao algebra
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n-ary S-hyperideals defined inside Krasner hyperrings
On n-ary S-hyperideals
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Spectrum topology alone decides local-to-global principle for derived categories
The importance of being isolated
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Toric normality matches for anti-blocking and unconditional polytopes
Algebraic aspects of unconditional lattice polytopes
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Skew lines achieve maximal rank on Hartshorne-Rao modules
Weak and strong Lefschetz properties for Hartshorne-Rao modules of curves in $\mathbb P^3$
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Smith normal form computation scales with matrix multiplication
A C implementation of the Smith massager algorithm
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New algorithm finds invariant generators for elementary abelian groups via seeds and mod-p
An algorithm for invariants of elementary abelian groups
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Algorithm produces certificates for univariate quadratic modules
Computing Certificates in Archimedean Univariate Saturated Quadratic Modules
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Differential operators on nodal curve lack bialgebroid structure
The Ring of Differential Operators on a Nodal Curve is not a Bialgebroid
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Every projective variety realized as rank variety over generic hypersurface
Rank varieties over the generic hypersurface I
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Trinomial algebras' T-homogeneous derivations classified
$\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras
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Trinomial algebras classified for torus-homogeneous derivations
$\mathbb T$-homogeneous locally nilpotent derivations of trinomial algebras
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Davenport constant determines elasticity of orders with prime conductor
Elasticity of Orders from the $S$-relative Davenport Constant: an Arithmetic Application of a Number-Theoretic Investigation
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Countable prime products factor every nonunit in this almost Dedekind ring
Factorization in almost Dedekind domain
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Limit F-signature stays positive for 3D singularities and low-degree hypersurfaces
On positivity of the limit F-signature
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Height 3 quadratic ideals get linear projective dimension bound
A Linear Bound on the Projective Dimension of Height 3 Quadratic Ideals
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Generic A_μ deformation yields full strongly exceptional collection
A category of graded matrix factorizations of a deformed polynomial associated to the $A_{\mu}$-singularity
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Rota-Baxter operators on truncated polynomials classified by idempotents
Rota Baxter Operators on Truncated Polynomial Algebras
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Derived Frobenius-Witt complex detects ring regularity
Frobenius--Witt cotangent complexes
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Density functions detect integral dependence of graded modules
Numerical characterizations for integral dependence of graded modules
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Semiquadratic bijections yield new commutative semifields
Commutative Semifields from bijections of the Desarguesian plane
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Markov bases reduce distance in graph toric ideals iff they hit circuits
Distance Reduction in Bouquet Decompositions and Toric Ideals of Graphs
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Cochordal property yields exact Betti numbers for chain ring graphs
Betti numbers for cochordal zero-divisor graphs of commutative rings
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Edge conditions turn hypergraph lcm-lattices Boolean or modular
On Some Properties of LCM-Lattices of Edge Ideals of k-Uniform Hypergraphs
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Diagonal dimension bounded by twice Krull dim for mild singularities
Remarks on diagonal dimension for algebraic stacks
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Degree-6 polynomial maps R2 to R2 with non-zero Jacobian are injective
A sharp degree bound in the real Jacobian conjecture
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Bass numbers of graded local cohomology stabilize in key cases
Bass numbers of graded components of local cohomology modules
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V-numbers computed for 2x2 permanental ideals
The v-numbers of permanental ideals
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This paper defines generalized Andrásfai graphs GA(t,k) that include complete graphs and…
Generalized Andr\'asfai graphs and special Betti diagrams of edge ideals
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Polynomial Betti growth characterizes derived complete intersections
Derived complete intersections and polynomial growth of Betti numbers over dg-algebras
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Polynomial Betti growth signals derived complete intersections
Derived complete intersections and polynomial growth of Betti numbers over dg-algebras
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Monomial ideal counterexample raises regularity under closure
A counterexample to a conjecture of K\"uronya and Pintye on regularity and integral closure
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Polynomial matrix equals Smith form when minors generate unit ideal
Matrix equivalence to Smith normal form: new theoretical results for multivariate polynomial matrices
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Prime of height h needs at most h squared quadratic generators
Quadratic linear strands of prime ideals
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Annihilator dimension detects Cohen-Macaulay formal fibers
Cohen-Macaulayness of formal fibers and dimension of local cohomology modules
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Singly graded syzygy gives implicit equation of tensor product surface
Tensor product surfaces and graded syzygies
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Transformation rule for adjoint test modules along CM maps
Adjoint test modules along Cohen--Macaulay morphisms
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Prime ideal spectrum defined for bi-incomplete Tambara functors
Spectra of bi-incomplete Tambara functors
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Exponents classify affine surfaces up to isomorphism
The Isomorphism Classes of the Surfaces $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$