Vol. 44 No. 1, 2019

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Special Issue: The Prospects for Commutative Algebra
Issue Editors: Steven Dale Cutkosky, David Eisenbud, Shiro Goto, Jürgen Herzog, Takayuki Hibi, Ngô Việt Trung

Preface
Steven Dale Cutkosky, David Eisenbud, Shiro Goto, Jürgen Herzog, Takayuki Hibi, Ngô Việt Trung

1

Equations and Syzygies of K3 Carpets and Unions of Scrolls
David Eisenbud, Frank-Olaf Schreyer

3

Rigid Ideals in Gorenstein Rings of Dimension One
Craig Huneke, Srikanth B. Iyengar, Roger Wiegand

31

Cohen-Macaulay Criteria for Projective Monomial Curves via Gröbner Bases
Jürgen Herzog, Dumitru I. Stamate

 

51

The Structure of Chains of Ulrich Ideals in Cohen-Macaulay Local Rings of Dimension One
Shiro Goto, Ryotaro Isobe, Shinya Kumashiro

65

Lexsegment Ideals and Their h-Polynomials
Takayuki Hibi, Kazunori Matsuda

 

83

Normal Reduction Numbers for Normal Surface Singularities with Application to Elliptic Singularities of Brieskorn Type
Tomohiro Okuma, Kei-ichi Watanabe, Ken-ichi Yoshida

87

Correspondence Scrolls
David Eisenbud, Alessio Sammartano

101

Membership Criteria and Containments of Powers of Monomial Ideals
Huy Tài Hà, Ngo Viet Trung

117

Minimal Resolutions Over Codimension 2 Complete Intersections
David Eisenbud, Irena Peeva

141

Extensions of Valuations to the Henselization and Completion
Steven Dale Cutkosky

159

Demazure Construction for ℤn-Graded Krull Domains
Yusuke Arai, Ayaka Echizenya, Kazuhiko Kurano

173

Openness of the Regular Locus and Generators for Module Categories
Srikanth B. Iyengar, Ryo Takahashi

207

Poset Ideals of P-Partitions and Generalized Letterplace and Determinantal Ideals
Gunnar Fløystad

213

Depth and Regularity of Monomial Ideals via Polarization and Combinatorial Optimization
José Martínez-Bernal, Susan Morey, Rafael H. Villarreal, Carlos E. Vivares

243

Syzygies of Determinantal Thickenings and Representations of the General Linear Lie Superalgebra
Claudiu Raicu, Jerzy Weyman

269

Bockstein Cohomology of Associated Graded Rings
Tony J. Puthenpurakal

285

Hibi Algebras and Representation Theory
Sangjib Kim, Victor Protsak

307