We show that $F$-purity deforms in local $\mathbb{Q}$-Gorenstein rings of prime characteristic $p>0$. Furthermore, we show that $F$-purity is $\mathfrak{m}$-adically stable in local Cohen-Macaulay $\mathbb{Q}$-Gorenstein rings.Comment: Comments welcom
Pinched Veronese rings are formed by removing an algebra generator from a Veronese subring of a poly...
Recent work of Hara and Watanabe extends the classical and much-studied notion of F-purity for rings...
This is a preprint of an article published Mathematische Zeitschrift 250 (2005), 791-806.For a reduc...
AbstractFor a Noetherian local domain (R,m,K), it is an open question whether strong F-regularity de...
For each positive prime integer $p$ we construct a standard graded $F$-rational ring $R$, over a fie...
For each positive prime integer $p$ we construct a standard graded $F$-rational ring $R$, over a fie...
The purpose of this dissertation is to investigate singularitieswhich are F-pure (respectively, F-pu...
Suppose $R$ is a $\mathbb{Q}$-Gorenstein $F$-finite and $F$-pure ring of prime characteristic $p>0$....
The purpose of this dissertation is to investigate singularitieswhich are F-pure (respectively, F-pu...
Let (R, m, K) be an F-finite Noetherian local ring which has a canonical ideal I (sic) R. We prove t...
66 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.In the language of local algeb...
AbstractWe show that the F-signature of a strongly F-regular local ring of characteristic p exists i...
This is a revised version, incorporating referee's comments, of an article published in Mathematical...
A conjecture of Hirose, Watanabe, and Yoshida offers a characterization of when a standard graded st...
This is a preprint of an article published in the Annales de la Faculte des Sciences de Toulouse, 15...
Pinched Veronese rings are formed by removing an algebra generator from a Veronese subring of a poly...
Recent work of Hara and Watanabe extends the classical and much-studied notion of F-purity for rings...
This is a preprint of an article published Mathematische Zeitschrift 250 (2005), 791-806.For a reduc...
AbstractFor a Noetherian local domain (R,m,K), it is an open question whether strong F-regularity de...
For each positive prime integer $p$ we construct a standard graded $F$-rational ring $R$, over a fie...
For each positive prime integer $p$ we construct a standard graded $F$-rational ring $R$, over a fie...
The purpose of this dissertation is to investigate singularitieswhich are F-pure (respectively, F-pu...
Suppose $R$ is a $\mathbb{Q}$-Gorenstein $F$-finite and $F$-pure ring of prime characteristic $p>0$....
The purpose of this dissertation is to investigate singularitieswhich are F-pure (respectively, F-pu...
Let (R, m, K) be an F-finite Noetherian local ring which has a canonical ideal I (sic) R. We prove t...
66 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993.In the language of local algeb...
AbstractWe show that the F-signature of a strongly F-regular local ring of characteristic p exists i...
This is a revised version, incorporating referee's comments, of an article published in Mathematical...
A conjecture of Hirose, Watanabe, and Yoshida offers a characterization of when a standard graded st...
This is a preprint of an article published in the Annales de la Faculte des Sciences de Toulouse, 15...
Pinched Veronese rings are formed by removing an algebra generator from a Veronese subring of a poly...
Recent work of Hara and Watanabe extends the classical and much-studied notion of F-purity for rings...
This is a preprint of an article published Mathematische Zeitschrift 250 (2005), 791-806.For a reduc...