On the morphisms of complete intersection in characteristic \(p\)

DOI10.1006/jabr.1998.7519zbMath0940.13004OpenAlexW1518381875MaRDI QIDQ1271896

Amalia Blanco, José J. M. Soto

Publication date: 24 July 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7519

zbMATH Keywords

characteristic \(p\)homomorphismdimension of complete intersection

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Morphisms of commutative rings (13B10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Regular local rings (13H05)

Related Items (5)

Characterizing Cohen-Macaulay local rings by Frobenius maps ⋮ Complete intersection dimensions and Foxby classes ⋮ Some Homological Criteria for Regular, Complete Intersection and Gorenstein Rings ⋮ A DESCENT THEOREM FOR FORMAL SMOOTHNESS ⋮ Regularity over homomorphisms and a Frobenius characterization of Koszul algebras

Cites Work

• On a result of Avramov
• Structure of local homomorphisms
• Another proof of the theorem connecting regularity and flatness in characteristic \(p\)
• Complete intersection dimension
• Regularity and finite flat dimension in characteristicp>0
• Reducedness, formal smoothness and approximation in characteristic p
• Characterizations of Regular Local Rings of Characteristic p
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