Degree \(p\) extensions of an unramified regular local ring of mixed characteristic \(p\)

DOI10.1016/0021-8693(86)90029-3zbMath0602.13008OpenAlexW2031162495MaRDI QIDQ1081647

Jee Heub Koh

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90029-3

zbMATH Keywords

direct summand conjecturedirect summand of the integral closureunramified regular local ring

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Extension theory of commutative rings (13B02) Regular local rings (13H05)

Related Items (12)

Intersection multiplicity, canonical element conjecture and the syzygy problem ⋮ The direct factor conjecture ⋮ Moderately ramified actions in positive characteristic ⋮ The monomial conjecture and order ideals ⋮ Conductors in mixed characteristic ⋮ Koh like theorems for polynomials in mixed characteristic ⋮ Splitting of local cohomology of syzygies of the residue field ⋮ Existence of birational small Cohen-Macaulay modules over biquadratic extensions in mixed characteristic ⋮ On the existence of birational maximal Cohen-Macaulay modules over biradical extensions in mixed characteristic ⋮ A note on the strong direct summand conjecture ⋮ A Note on the Monomial Conjecture ⋮ The monomial conjecture and order ideals. II

Cites Work

• Unnamed Item
• Splitting theorems for quadratic ring extensions
• Canonical elements in local cohomology modules and the direct summand conjecture
• Abelian Extensions of Regular Local Rings
• Contracted ideals from integral extensions of regular rings

This page was built for publication: Degree \(p\) extensions of an unramified regular local ring of mixed characteristic \(p\)