arXiv math.AC Commutative Algebra

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[arXiv math.AC Commutative Algebra @mathACb]

Hilbert-Kunz multiplicity of quadrics decreases
arXiv:2606.04346

[arXiv math.AC Commutative Algebra @mathACb]

Amplitude inequalities for local (co)homology
arXiv:2606.02850

Betti numbers of split graphs
arXiv:2606.03101

Complexity, curvature and homological dimension of modules under lin...
arXiv:2606.03425

[arXiv math.AC Commutative Algebra @mathACb]

Jordan types for pairs of commuting nilpotent matrices: A survey
arXiv:2606.02026

[arXiv math.AC Commutative Algebra @mathACb]

Large imperfect fields are existentially closed in function fields a...
arXiv:2606.01310

Implicitization of rational hypersurfaces by syzygies with respect t...
arXiv:2606.01415

Rosenbrock's Theorem characterizes Pr\"{u}fer domains
arXiv:2606.01497

[arXiv math.AC Commutative Algebra @mathACb]

Q-filters of bounded lattices
arXiv:2606.00731

Projective dimension of powers of cover ideal of Ferrers graphs
arXiv:2606.00772

Algebraic properties of overflow semirings
arXiv:2606.00916

[arXiv math.AC Commutative Algebra @mathACb]

Cohomological support varieties for monomial ideals
arXiv:2605.29103

A sharp bound for the Frobenius test exponents in generalized Cohen-...
arXiv:2605.29544

[arXiv math.AC Commutative Algebra @mathACb]

Free Resolutions of Symmetric Algebras of Ideals with Deviation Two
arXiv:2605.27632

Jordan types commuting with a hook partition
arXiv:2605.27692

[arXiv math.AC Commutative Algebra @mathACb]

Structural properties and tilting correspondences of perfectoid towers
arXiv:2605.27283

Regular rings and perfectoid towers
arXiv:2605.27337

[arXiv math.AC Commutative Algebra @mathACb]

A palindromicity criterion for the h-polynomials of bipartite edge r...
arXiv:2605.26865

KW Semigroups -- Their Betti Numbers, Ap\'ery Posets and Tangent Cones
arXiv:2605.27035

A characterization of perfectoid towers in terms of conormal cones
arXiv:2605.27279

[arXiv math.AC Commutative Algebra @mathACb]

On some open problems in commutative algebra resolved by Rethlas
arXiv:2605.25259

[arXiv math.AC Commutative Algebra @mathACb]

Betti numbers of inductively pierced codes
arXiv:2605.24181

S-Filters of bounded lattices
arXiv:2605.24605

A Classification of Unmixed Binomial Edge Ideals of K\"onig Type
arXiv:2605.24933

[arXiv math.AC Commutative Algebra @mathACb]

Cartier algebras through the lens of $p$-families
arXiv:2605.22987

Incidence toric ideals and three-point functions
arXiv:2605.23849

[arXiv math.AC Commutative Algebra @mathACb]

An algebraic proof of the Milnor-Orlik theorem
arXiv:2605.21703

Cellular resolutions of second powers of square-free monomial ideals...
arXiv:2605.22280

BCM-regularity of diagonal hypersurfaces and plus-pure thresholds in...
arXiv:2605.22419

[arXiv math.AC Commutative Algebra @mathACb]

Critical subgraphs and the regularity of symbolic powers of cover id...
arXiv:2605.20603

n-trivial extensions and multi Hasse-Schmidt derivations
arXiv:2605.20664

[arXiv math.AC Commutative Algebra @mathACb]

Subarrangements of type A: the weak Lefschetz property of the Artini...
arXiv:2605.19880

Golod ideals in combinatorial commutative algebra
arXiv:2605.19973

Cyclotomic finite-field Fourier spectra: Galois descent, native subf...
arXiv:2605.20062

[arXiv math.AC Commutative Algebra @mathACb]

An algorithm for invariants of elementary abelian groups
arXiv:2605.19158

The importance of being isolated
arXiv:2605.19617

On n-ary S-hyperideals
arXiv:2605.19836

[arXiv math.AC Commutative Algebra @mathACb]

Factorization in almost Dedekind domain
arXiv:2605.17315

Elasticity of Orders from the $S$-relative Davenport Constant: an Ar...
arXiv:2605.17595

Rank varieties over the generic hypersurface I
arXiv:2605.17736

[arXiv math.AC Commutative Algebra @mathACb]

Rota Baxter Operators on Truncated Polynomial Algebras
arXiv:2605.15670

A Linear Bound on the Projective Dimension of Height 3 Quadratic Ideals
arXiv:2605.15992

[arXiv math.AC Commutative Algebra @mathACb]

A counterexample to a conjecture of K\"uronya and Pintye on regulari...
arXiv:2605.13879

Numerical characterizations for integral dependence of graded modules
arXiv:2605.14203

On Numerical Semigroups with Fixed Quotient
arXiv:2605.14775

[arXiv math.AC Commutative Algebra @mathACb]

On Some Properties of LCM-Lattices of Edge Ideals of k-Uniform Hyper...
arXiv:2605.13617

Betti numbers for cochordal zero-divisor graphs of commutative rings
arXiv:2605.13622

Distance Reduction in Bouquet Decompositions and Toric Ideals of Graphs
arXiv:2605.13662