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121 papers in math.AC · page 1
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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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This paper defines a layered graph C(q,L) modeling zero-divisor structures in finite…
Betti numbers for cochordal zero-divisor graphs of commutative rings
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Degree-6 polynomial maps R2 to R2 with non-zero Jacobian are injective
The real Jacobian conjecture for maps with one component having degree 6
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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 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 $x_1^{a_1} + x_2^{a_2} + x_3^{a_3} + 1 = 0$
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Derived depth formula extends to finite quasi-projective dimension modules
The derived depth formula for modules of finite quasi-projective dimension
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Rational eigenfunctions yield closed-form quadratic ODE solutions
Analytical solutions for some quadratic ODEs found via linear rational eigenfunctions and the rational eigenfunction variety
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S2-sheaves decompose by codim-1 support components
Connectedness in Codimension One and the Non-$S_2$ Locus
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Quasi sdf-absorbing ideals generalize sdf-absorbing ones
Quasi sdf-absorbing ideals in commutative rings
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Derivatives cut symmetric realizations to diagonals in char 2
Symmetric Bessmertny\u{i} Realizations and Field Extension Problems in Characteristic 2 - A Differential Algebra Approach
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Connectivity fixes sharp lower bounds on edge-ideal depths
Depth of edge ideals and vertex connectivity of finite graphs
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Lagrange inversion derived from power series alone
Non-external Proofs of Lagrange Inversion Formula
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Two-step recipe resolves singularities of configuration hypersurfaces
Tropical resolutions of configuration hypersurfaces
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Generic forms satisfy Fröberg conjecture in second degree
Independence of generic forms and the Fr\"oberg conjecture
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Epsilon multiplicity equals colon-family version
Epsilon multiplicity, multiplicity=volume formula and analytic spread of family of ideals
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Variant large homomorphisms confirm new cases of homotopy Quillen analog
Large homomorphisms on the homotopy lie coalgebra
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LCM-lattice density in random monomial ideals jumps at sharp thresholds
Asymptotic properties of random monomial ideals
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Depth of cycle cover ideal symbolic powers is n-1 minus floor(tn/(2t+1))
Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs
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Path cover ideal powers receive explicit depth formulas
The depth function of powers of cover ideals of path graphs
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Split extensions of Hom-Jacobi-Jordan algebras match their second cohomology
Non-abelian extensions of Hom-Jacobi-Jordan algebras
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Matroids compute class groups of signed poset toric rings
Toric rings of signed posets and conic divisorial ideals via matroid theory
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Frobenius action on volume maps yields g-theorem for spheres
Frobenius identities for the volume map on Cohen--Macaulay rings
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Quasi-Gorenstein morphisms get Gorenstein characterization
Quasi-Gorenstein morphisms of commutative local dg-algebras
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Reduced hypersurfaces are Veronese-avoiding exactly when nodes are ordinary and in general
Veronese Avoiding Hypersurfaces
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Rings gain i-extended cozero-divisor graphs via bounded powers
The $i$-extended ideal-based cozero-divisor graph of a commutative ring
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Matrix subalgebras cannot be smaller than n by n up to size 13
Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds
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Delta isocrystal matches minimal crystalline sub-isocrystal
Delta characters and crystalline cohomology of abelian schemes
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Hilbert-Serre rings obey dim ≤ GKdim ≤ Poincaré pole order
On Krull's Dimension Theorem for Certain Graded Rings and Its Applications
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Trace ideals characterize polynomial ranks and singular loci of rings
Trace ideals of exterior powers of the module of differentials
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Macaulay2 package builds automatic solvers for parametric polynomial systems
Elimination Templates in Macaulay2
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Graded Artinian Gorenstein algebras obey Parseval-Rayleigh identities
Parseval-Rayleigh identities for graded Artinian Gorenstein algebras
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Group theory links H4 prepotential coordinates
Flat coordinates of Frobenius prepotentials related with the reflection groups of types $H_3$ and $H_4$
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Transfer map image for S_n depends only on floor(n/p) in char p
Syzygies of the transfer ideal of the symmetric group
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Factorization of invariants proves component map surjectivity
Reverse Tableaux and the Surjectivity of the Component Map in Type $A$
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Schröder trees factor spectra of graphs from iterated composition
Polynomial and spectra factorization of graphs obtained by iteration the operad of generalized graph composition
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All Rota-Baxter operators on dual quaternions classified
Rota-Baxter Operators on Dual Quaternion Algebra
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Weight diagrams of CP² foliations analyzed via Hilbert-Mumford
Analysis of the weight Diagram Associated with Foliations on the $\mathbb{CP}^{2}$
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GD1 and 1GD relations form partial orders on finite potent endomorphisms
On the binary relations defined using GD1 and 1GD inverses over infinite dimensional vector spaces
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Core-nilpotent decomposition extends to any vector space
k[x]-modules and Core-Nilpotent endomorphisms
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Reduced rings yield zero-divisor graphs with exactly s main eigenvalues
On main eigenvalues of zero-divisor graphs of reduced rings
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Reduced-ring zero-divisor graphs give infinite families with exactly s main eigenvalues
On main eigenvalues of zero-divisor graphs of reduced rings