Purely inseparable extensions of unique factorization domains

DOI10.2977/prims/1195170956zbMath0736.13014OpenAlexW1981225150MaRDI QIDQ1173967

Jeffrey Lang

Publication date: 25 June 1992

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195170956

zbMATH Keywords

divisor class groupfactorial domaincharacteristic pcoordinate ringpurely inseparable covering

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Class groups (13C20)

Related Items (3)

A Jacobian identity in positive characteristic ⋮ On Jacobian \(n\)-tuples in characteristic \(p\) ⋮ Purely inseparable extensions of complete intersections

Cites Work

• The divisor classes of the surface \(z^ p=G(x,y)\), a programmable problem
• Applications of the fundamental group and purely inseparable descent to the study of curves on Zariski surfaces
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