Finiteness of extension functors of local cohomology modules

Finiteness of Hilbert functions and bounds for Castelnuovo-Mumford regularity of initial ideals

Finiteness properties of duals of local cohomology modules

Finiteness properties of formal local cohomology modules and Cohen-Macaulayness

Finiteness property of local cohomology for $F$-pure local rings

Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals

Finitistic Extension Degree

Finitistic Weak Dimension of Commutative Arithmetical Rings

First Nonlinear Syzygies of Ideals Associated to Graphs

First, second, and third change of rings theorems for the Gorenstein homological dimensions

Fitting ideals and the Gorenstein property

Flat Ideals and Stability in Integral Domains

Flat modules and Gröbner bases over truncated discrete valuation rings

Flatness testing over singular bases

Fonction asymptotique de Samuel des sections hyperplanes et multiplicité

Forcing algebras, syzygy bundles, and tight closure

Forcing the Strong Lefschetz and the Maximal Rank Properties

Formulas for the multiplicity of graded algebras

Formulas of F-thresholds and F-jumping coefficients on toric rings

Foxby equivalence over associative rings