Transcendence degree over an arbitrary commutative ring

DOI10.1016/0021-8693(86)90100-6zbMath0591.13003OpenAlexW1971313501MaRDI QIDQ1074666

Eloise Hamann

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)90100-6

zbMATH Keywords

transcendence degree in commutative rings

Mathematics Subject Classification ID

Extension theory of commutative rings (13B02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (4)

ON THE KRULL DIMENSION OF TRANSCENDENTAL EXTENSIONS OF COMMUTATIVE RINGS ⋮ Krull dimension and transcendence degree ⋮ TRANSCENDENTAL AND ALGEBRAIC EXTENSIONS OF COMMUTATIVE RINGS ⋮ Semiflat algebras and transcendence degree

Cites Work

• Unnamed Item
• A postscript on steadfast rings and R-algebras in one variable
• On the \(R\)-invariance of \(R[X\)]
• Note on coefficient fields of complete local rings
• Nonuniqueness of Coefficient Rings in a Polynomial Ring

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