$F$-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