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Every paper Pith has read. Search by title, abstract, or pith.
326 papers in math.AC · page 3
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Semigroups with max generator 2g+1 satisfy Wilf conjecture
Numerical Semigroups with $a_e = 2g+1$
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S-Prime Principle unifies prime-element proofs in lattices
On $S$-Prime Element Principle
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Nested Cartesian codes stabilize distance at v-number of ideal
On the regularity index of the minimum distance function in projective nested Cartesian codes
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Rigidity of Tor modules extends from two ideals to any number
Multiple Tor modules: rigidity and Mayer-Vietoris spectral sequences
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Isomorphisms characterize Smith form for polynomial matrices
Smith Form Equivalence for Several Classes of Multivariate Polynomial Matrices
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Higher rank GKZ fans degenerate toric varieties to reduced unions
Higher rank Gelfand-Kapranov-Zelevinsky fans
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Tighter bounds on regularity of monomial curves
New bounds on Castelnuovo--Mumford regularity of monomial curves and application to sumsets
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Cohomological dimension equals height for cML rings
Epimorphisms of local cohomology modules, a general Peskine-Szpiro theorem, and an application to sheaf cohomology vanishing for thickenings
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Canonical dualizing complexes exist on Noetherian F-finite schemes
$F$-finite schemes have a dualizing complex
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Prime ideal graphs give edge ideals with polymatroidal powers
Edge Ideals of Prime Ideal Graphs: Ordinary Powers, Polymatroidality, and Analytic Spread
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Prime ideal graphs are complete split graphs with polymatroidal edge ideals
Edge Ideals of Prime Ideal Graphs: Ordinary Powers, Polymatroidality, and Analytic Spread
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Reciprocal complement of surfaces has dimension 2 under geometric criteria
The reciprocal complement of a surface
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Change-of-rings theorems bound small finitistic dimension
Change-of-Rings Theorems for the Small Finitistic Dimension
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Lattices give degree bounds for group invariants
Geometry of numbers and degree bounds for rational invariants
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Regular F-finite maps pull back Cartier modules
Pulling back Cartier structures along regular maps
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Divisible weighted spaces give sharp bounds on minimal degrees
Varieties of minimal degree in weighted projective space
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Log FW-differentials give criterion for log regularity
A criterion for log regularity via log Frobenius-Witt differentials
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Exact regularity of squarefree powers on whiskered cycles is 2q + floor((n-q-1)/2)
Regularity of Squarefree Powers of Edge Ideals of Whiskered Cycles
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Causal Rees algebra counts component mergers via module dimensions
Causal Edge Rees Algebras for Spatiotemporal Graphs
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Polynomials that separate decks also separate graphs
Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
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The paper studies families of mutually commuting endomorphisms of the generalized tangent…
Tensorial Constraints for Commuting Endomorphisms of the Generalized Tangent Bundle
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Lean 4 certifies Wu-Ritt decomposition of polynomial systems
Formalizing Wu-Ritt Method in Lean 4
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Numerical semigroups get two linkage theories for relative ideals
A semigroup-theoretic linkage theory for relative ideals: principal and canonical links
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Toric substacks get minimal resolutions via deformation retracts
Minimal resolutions of toric substacks by line bundles
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Surjective map from submodule to module is always an isomorphism
A constructive proof of Orzech's theorem
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Lean 4 certifies external Gröbner basis results
Automated Tactics for Polynomial Reasoning in Lean 4
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Symmetric subrank growth rate determined for degree-d forms
Symmetric subrank and its border analogue
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Exact depth formulas for powers of weighted path edge ideals
Depth of powers of the edge ideal of an increasing weighted path
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Finite reducing invariant forces module to satisfy Auslander condition
Homological properties and finiteness of reducing invariants
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Finite generation requires algebraic alpha to be weak Perron
Finite Generation in Polynomial Semirings
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Monomial ideals stabilize colon powers after a persistence index
Strong persistence index and fluctuations in colon powers of monomial ideals
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Monomial ideals stabilize colon powers after finite index
Strong persistence index and fluctuations in colon powers of monomial ideals
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Local cohomology over ramified rings can have infinitely many associated primes
Infinitely many associated primes of local cohomology modules of ramified regular local rings
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Proof of double Danielewski surfaces theorem rectified
A note on double Danielewski surfaces
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Graded semihereditary rings equal coherent ones with flat submodules
A characterization of monoid graded semihereditary rings
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O-sequence counts obey sub-Fibonacci rule to multiplicity 1100
Counting finite O-sequences: sub-Fibonacci behaviour and growth estimates
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Relative Vorst theorem improves K1 stability bounds
Improved injective stability for relative $\mathrm{K_1Sp}$-groups
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The paper generalizes quasi-projective dimension from modules to complexes over…
Quasi-projective dimensions of complexes over rings
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F-finite graded modules split into E
On the structure theorem of graded components of $\mathcal{F}$-finite, $\mathcal{F}$-modules over certain polynomial ring
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Resplendency gives quantifier elimination for ordered valued fields
Ordered henselian valued fields: definability and Borel sets
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Explicit ring has McCoy localizations but fails to be McCoy itself
An Integrally Closed Reduced Ring with McCoy Localizations That Is Neither McCoy nor Locally a Domain
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Persistence grounded in poset algebra with interleaving stability
An Algebraic Introduction to Persistence
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Wiles defects of maximal minor rings reduce to (m-1) minors
Congruence modules and Wiles defects of determinantal rings of maximal minors
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One domain over F2 disproves flatness for integer-valued polynomial rings
A Counterexample to Problem 19 on Integer-valued Polynomial Rings
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Algebraic methods unlock properties of resultants and Chow forms
Everything I always wanted to know about resultants and Chow forms (but was too lazy to ask)
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Cohen-Macaulay rings characterized by finite levels of perfect complexes
A characterization of Cohen-Macaulay rings in terms of levels of perfect complexes
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Modular lattice counterexample disproves integrality conjecture
Modular lattices and algebras with straightening laws
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Most elliptic sequences are scaled standard EDSs
On Elliptic Sequences over Commutative Rings
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Lean 4 formalizes Nagata's theorem on Noetherian UFDs
A Prime-Generated Formalization of Nagata's Factoriality Theorem in Lean 4