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326 papers in math.AC · page 2
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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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Cycle cover ideals have explicit symbolic power depth formula
Admissible subgraphs and the depth of symbolic powers of cover ideals of graphs
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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 dimension at least n for n up to 13
Minimal Dimensions of Maximal Commutative Matrix Algebras and Sharp Courter-Type Bounds
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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-ring zero-divisor graphs give infinite families with exactly s main eigenvalues
On main eigenvalues of zero-divisor graphs of reduced rings
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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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S-Noetherian lattices have unique S-primary decompositions
On $S$-Noetherian Lattices
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Carlitz rank and additive index detect different weaknesses
Additive index and Carlitz rank
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Splitting of projective schemes matches purity in section rings
A local-global correspondence for perfectoid purity
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Scheme splitting matches section-ring purity
A local-global correspondence for perfectoid purity
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Koszul modules compute infinitesimal Alexander invariants
Koszul modules, holonomy Lie algebras, and resonance of groups and CDGAs
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Spectral sequences bound projective dimension over complete intersections
Finite projective dimension and a question of Jorgensen
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1960s uniqueness condition for Euclidean division still holds
A Necessary and Sufficient Condition for Uniqueness of Euclidean Division
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Boundary h*-polynomials match h-polynomials of regular unimodular triangulations
Boundary $h^\ast$-vectors and unimodular triangulations
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Formulas compute singular subscheme degree from Betti numbers
On the degree of the singular subscheme of hypersurfaces in ${\mathbb P}^n$
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Maximal ideal associates to ideal power only if graph diameter ≤ 7t-8
Associated primes of powers of closed neighborhood ideals and diameters of graphs
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C1-smooth Clifford semigroups have discrete idempotent semilattices
Topological and differentiable aspects of Clifford semigroups
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Maximal commutative subalgebras in M_6 have dimension at least 6
On the minimal dimension of maximal commutative subalgebras of $M_6(k)$