Domain theory aspects of extensions of integral domains

DOI10.1016/j.jalgebra.2023.05.009zbMath1527.13025OpenAlexW4376605136MaRDI QIDQ6169055

Shai Sarussi, Chai Sarussi

Publication date: 11 July 2023

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.05.009

zbMATH Keywords

algebraic domainring extensionsvaluation domainscontinuous dcpoimmediate neighbors

Mathematics Subject Classification ID

Integral domains (13G05) Extension theory of commutative rings (13B02)

Cites Work

• Manis valuations and Prüfer extensions. I: A new chapter in commutative algebra
• Alexandroff topology of algebras over an integral domain
• Quasi-valuations extending a valuation
• Extensions of pseudo-valuations
• Totally ordered sets and the prime spectra of rings
• Value Functions on Central Simple Algebras
• Continuous Lattices and Domains
• Value functions and associated graded rings for semisimple algebras
• Extensions of integral domains and quasi-valuations
• Quasi-valuations and algebras over valuation domains
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