An elementary proof of Grothendieck's Non-vanishing Theorem
An Elementary Proof of Sylvester's Double Sums for Subresultants
An Euler characteristic for modules of finite {G}-dimension
An example of a non acyclic Koszul complex of a module
An example of an infinite set of associated primes of a local cohomology module
An example of Melkersson subcategory which is not closed under injective hulls
An excellent F-pure ring of prime characteristic has a big tight closure test element
An explicit duality for quasi-homogeneous ideals
An extension of Buchberger's criteria for Groebner basis decision
An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations
An improved Multiplicity Conjecture for codimension three Gorenstein algebras
An improvement upon unmixed decomposition of an algebraic variety
An Improving Primary Decomposition of Zero-dimensional Ideals over Finite Fields
An inclusion result for dagger closure in certain section rings of abelian varieties
An indispensable classification of monomial curves in $\mathbb{A}^4(\mathbbmss{k}) $
An inductive analytic criterion for flatness
An inequality between depth and Stanley depth
An inequality involving tight closure and parameter ideals
An Introduction to Tight Closure
An overring-theoretic approach to polynomial extensions of star and semistar operations