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326 papers in math.AC · page 4
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Infinite series of Gorenstein algebras fail affine homogeneity
An infinite series of Gorenstein local algebras failing the affine homogeneity property
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Tame isotropy groups of derivations and exponentials coincide
On the Tame Isotropy Group of Locally Finite Derivations of K[X,Y]
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G_m-actions linearize exactly when derivation is conjugate to partial
On nice $\mathbb{G}_m$-actions arising from locally nilpotent derivations with slice
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Newton polyhedra fix Lipschitz saturation for toric singularities
Lipschitz saturation of toric singularities in any dimension
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Zero-divisor graphs of Z_p[x]/(x^c) have explicit spectra
Spectral Properties of Zero-Divisor Graphs of Truncated Polynomial Rings
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New absorbing submodule class defined and listed for Z
Generalized square-difference factor absorbing submodules of modules over commutative rings
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Absolute perfectoidization algebraizes for projective formal schemes
Algebraization of absolute perfectoidization via section rings
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Valuative tree is closed in product of value groups
On topologies on the space of valuations and the valuative tree
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Equivalence links relative Ulrich bundles to generalized Clifford algebras
On relative Ulrich bundles and generalized Clifford algebras
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Constructing Gorenstein curves via bi-amalgamated algebras
Cohen-Macaulay and Gorenstein Properties of Bi-Amalgamated Algebras with Applications to Algebroid Curves
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Graded injective envelopes described for simplicial poset primes
Toward the theory on local cohomologies at the ideals given by simplicial posets
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V-number of graph ideals grows linearly with power k
The $v$-number of generalized binomial edge ideals of some graphs
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Private neighbors bound v-number of neighborhood ideals
Private neighbors, perfect codes and their relation with the $\mathtt{v}$-number of closed neighborhood ideals
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Contraherent cosheaves of contramodules defined on Noetherian formal schemes
Contraherent cosheaves of contramodules on Noetherian formal schemes
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Weighted Saito test finds free divisors in any dimension
Modules of logarithmic derivations in weighted projective spaces and applications to free divisors
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Prime congruences on toric semirings admit geometric classification
Geometric classification of primes modulo a (bend) congruence
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Only hook-decomposable biparameter modules admit structure theorems
Hook-decomposable modules and their resolutions
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Commutative schemes are imprimitive iff they admit multivariate P/Q-polynomials under an
Imprimitive association schemes and elimination theory
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Every ML degree up to the maximum is realized as an Euler characteristic
The Euler Stratification for $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^n$
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Sieving analogue holds exactly for Dedekind domains
An analogue of Rogers' theorem on sieving in commutative rings
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Algorithm runs minimal model program for threefolds over algebraic numbers
An algorithm for the minimal model program in dimension three
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Kraft quivers classify finite spaces with two semi-linear operators
Twisted Gelfand-Ponomarev modules
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Core dimensions of tensor powers over p-groups are not recursive
Asymptotic behavior of modular representations over abelian $p$-groups
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Relaxed shedding yields scalable simplicial complexes
Vertex Dismissibility and Scalability of Simplicial Complexes
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Explicit Betti numbers for skeletons of thick trees
Betti numbers of skeletons of thick trees
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Monoid-graded rings characterized as hereditary via module criteria
On monoid graded semihereditary rings
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Pargraph chip-firing recovers classical toric ideals
Restricted Chip-Firing: Toric Toppling Ideals, Picard Groups, and Cellular Resolutions
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Lean formalizes Gröbner bases for rings with any number of variables
Formalizing Gr\"obner Basis Theory in Lean
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Closed formula expresses Hilbert polynomial of surface Jacobian algebras via Betti numbers
Graded Betti numbers of the Jacobian algebra of surfaces in $\mathbb P^3$
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Torsion-freeness of M tensor M forces the module to be free
Remarks on modules of finite projective dimension
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A field is p-adically closed exactly when its Galois group matches Q_p
The Galois characterisation of $p$-adically closed fields -- A modern perspective
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Monomial ideals with at most eight generators are glicci
On Zero-Dimensional Glicci Monomial Ideals
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Powers of algebraic representations stay topologically Noetherian
Topological noetherianity for powers of algebraic representations
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Graded modules equivalent to comodules over group ring comonad
Derived graded modules
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Valuative tools settle phase tropicalization for SL_2
Fibers of phase tropicalizations
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Bott-Samelson hom modules reflexive but not free in S_n
Homomorphisms between Bott-Samelson bimodules corresponding to sequences of reflections
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F-pure binomial edge ideals match weakly closed graphs in char 2
F-Purity of Binomial Edge Ideals
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Leading monomials unify factor and interpolation theorems for multivariate roots
Toward a unified theory for common affine roots of general sets of multivariate polynomials
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Boolean polynomial semiring primes fall into three integer classes
Prime ideals in the Boolean polynomial semiring
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Vanishing syzygies yield polynomial chromatic bounds
Chromatic numbers from edge ideals: Graph classes with vanishing syzygies are polynomially $\chi$-bounded
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Equidimensional surjections to Noetherian splinters are pure
Equidimensional morphisms onto splinters are pure
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Sub-atomic domains relax atomicity to divisors of atomic elements
A Weaker Notion of Atomicity in Integral Domains
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Seshadri constants extend semicontinuously to Berkovich seminorms
b-divisorial valuations and Berkovich positivity functions
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Finite generation of difference ideals yields dimension polynomials
Dimension Polynomials for Affine Partial Difference Algebraic Groups
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Permutation invariants keep a-invariants across characteristics
Homological properties of invariant rings of permutation groups
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Terracini unions make algebraic matroids of joins equal their summands
Terracini matroids: algebraic matroids of secants and embedded joins
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Polynomial pair yields unstable foliation tangent sheaf
Bourbaki degree of pairs of projective surfaces
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Upper sets classify toric NCCRs for rank-one class groups
Non-commutative crepant resolutions of toric singularities with divisor class group of rank one
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Weak del Pezzo surfaces are exactly those with 2-tilting bundles
Weak del Pezzo surfaces are characterized by the existence of $2$-tilting bundles
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Quotients of perfectoid Tate algebras are semi-immediate extensions
Abhyankar valuations, Pr\"ufer-Manis valuations, and perfectoid Tate algebras