"Geometric quotients are algebraic schemes" based on Fogarty's idea

$F$-finiteness of homomorphisms and its descent

$F$-pure homomorphisms, strong $F$-regularity, and $F$-injectivity

$F$-stable submodules of top local cohomology modules of Gorenstein rings

$G$-prime and $G$-primary $G$-ideals on $G$-schemes

$j$-multiplicity and depth of associated graded modules

$n$-strongly Gorenstein rings

$p-$Ferrer diagram, $p-$linear ideals and arithmetical rank

$R^+$ is regular in characteristic $p$

$φ$-prime submodules

(FC)-Sequences, Mixed Multiplicities and Reductions of Modules

(n-1)-st Koszul homology and the structure of monomial ideals

2 x 2 permanental ideals of hypermatrices

A "$v$-operation free" approach to Prüfer $v$-multiplication domains

A Bivariate Preprocessing Paradigm for Buchberger-Möller Algorithm

A Bound for Orders in Differential Nullstellensatz

A cancellation theorem for ideals

A case study in bigraded commutative algebra

A characteristic free criterion of birationality

A characteristic-free proof of a basic result on D-modules