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462 papers in math.AC · page 1
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Sparsity bound gives poly-time deterministic exact root for sparse powers
Deterministic Polynomial-time Exact-root Computation for Sparse Polynomials with Bounded Total Degree
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R[x;δ] strongly simple iff R simple
Bimodules in differential polynomial rings
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Quasi-F-splitting for all e implies numerical log canonicity
Quasi-$F$-splitting versus log canonicity
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Nine-line pair counters generalized Terao conjecture
A nine-line counterexample to a conjecture on the minimal degree of Jacobian relations
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Gorenstein algebra nonsmoothable despite smoothable first quotient
Existence of a Nonsmoothable Local Gorenstein Algebra with Smoothable Q(0)
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Matchings of size p decide linearity of squarefree edge ideal powers
On the Linearity of Squarefree Powers of Edge Ideals
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Tropical support constraint shrinks PINN search space for nonlinear DEs
Tropical Geometry as a Restricted Architecture for Physics-Informed Neural Networks: Applications in Nonlinear Fluid-Structure Examples
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Weaker hypotheses extend intersection theorems to DG-rings
Intersection theorems over DG-rings revisited
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Integer polynomials over group rings are Prüfer under algebra conditions
When is the Ring of Integer-Valued Polynomials over a Group Ring a Pr\"ufer domain?
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Hyperplane constraint yields prime ideals for Segre degeneracy loci
Segre-Determinantal Loci and the Image Variety for Three Flatland Cameras
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Overview links quasi-F-singularities to birational geometry
Quasi-$F$-singularities and singularities in birational geometry
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Rouquier dimension bounded below by Krull dimension
A lower bound for the Rouquier dimension of derived categories over commutative rings
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Hankel flat extensions match tensor completions for cactus rank
Hankel and Multiplication Tensor Completions for Cactus Rank
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Perfect closure detects finite injective dimension
Perfect closure detects injective dimension
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Non-rational components of point Hilbert schemes reach n=10
A One-Variable Frame Construction For Irrational Components of Hilbert Schemes of Points
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Toric line bundles meet Property N_p above curve intersection bound
On Property $N_p$ of line bundles on smooth projective toric varieties
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DSER orthogonal group contains conjugate of odd unitary group
Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group
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Blow-up formula computes symbolic defects from base antichains
Defect Antichains and Multigraded Symbolic Defect Series of Edge Ideals under Graph Blow-ups
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Equalizers defined uniformly from differential polynomial coefficients
Definable Eventual Equalizers
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Epsilon multiplicity takes transcendental values
Transcendental Epsilon Multiplicity via Divisor Volumes
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Matrix powers keep all principal minors at 1 over regular rings
Powers of matrices with all principal minors equal to 1
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Underclosed clutters are chordal
Chordality, syzygies, and shellability for hypergraphic analogues of interval graphs
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Ulrich exterior powers imply Fano varieties
Varieties with Ulrich exterior powers of the tangent bundle
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Strong C-semigroups with fixed multiplicities form a tree with a maximal element
A note on strong affine semigroups
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Nil-S-Noetherian rings extend four classical theorems
Cohen, Levitzki, Hilbert Basis, and Lasker-Noether Theorems for Nil-S-Noetherian Rings
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Brieskorn-Pham varieties cancel as C*-varieties after any smooth-point product
Generalized Zariski cancellation for Brieskorn--Pham varieties
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Second Vanishing Theorem holds in ramified mixed characteristic
The Second Vanishing Theorem in Ramified Mixed Characteristic
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Second Vanishing Theorem proved for ramified mixed characteristic
The Second Vanishing Theorem in Ramified Mixed Characteristic
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Homomorphism ideals have linear resolutions exactly for certain graph pairs
An algebraic study of ideals of weak graph homomorphisms
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Refined algorithm lists generators of cluster automorphism groups
Effective Computation of Mutation Paths and Generators of Cluster Automorphism Groups
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Polynomial extensions do not preserve HMCM in non-Noetherian rings
Polynomial Extensions of Non-Noetherian Cohen--Macaulay Rings and Torsion-Free Localization
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Nearly atomic domains need not be atomic
On near atomicity and a characterization of the FF property
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Formulas derived for Betti numbers of generalized split-join graphs
Graded Betti numbers of generalized split--join graphs and applications
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Nonsimilar quadratic forms match isotropy indices over char-2 fields
Nonsimilar half-neighbors over fields of characteristic 2
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Minimal border rank polynomials classified for high degree up to 7 variables
Polynomials of minimal border rank
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Cluster structures on partial flag varieties classified by finite type
On Two Approaches to Cluster Structures on Partial Flag Varieties
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Differential polynomial rings gain compatible grading only for γ-derivations
Graded differential polynomial rings
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Monomial ideals can realize any sign pattern in generator count differences
Prescribed Initial Behavior of $\mu(I^k)$
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HRL on graphs outperforms baselines in algebraic counterexample search
Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra
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Tree characterization yields Betti formulas for co-chordal graphs
Betti Numbers of Sequentially Cohen-Macaulay Co-Chordal Graphs and Their Applications
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Adjoining square roots makes 2s-Pythagoras numbers infinite
Sums of squares on curves and surfaces
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One-step loci in five dimensions are smoothable except at r=3,5
The one-step Shafarevich gap in embedding dimension five
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Jacobian components are either all automorphisms or mostly not
An organizing principle in the study of the Jacobian Conjecture
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Hermitian distance degree on binary forms scales linearly with order
The Hermitian Distance degree of Tensor spaces
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Adjoining idempotents yields flat modules iff base ring is weak Baer
Adjoining Idempotents to a Commutative Ring preprint version
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No uniform bound on extension degree for matrix similarity
On Bounds of Extension Degrees for Similarity of Integral Matrices over Number Fields
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Monomial ideals encode distinct occupation patterns in Markov chains
Occupation Ideals and Parikh Images in Markov Support Dynamics
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Inductive relations bound flag variety regularity regions
Multigraded Regularity of the Complete Flag Variety
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Hyperoctahedral group decomposes hypercube homology at r≤3 and r=n-1
Homology of Vietoris-Rips complexes of hypercube graphs via group actions