"Commutative Algebra, Volume I"
E1266006
UNEXPLORED
"Commutative Algebra, Volume I" is a foundational graduate-level textbook in modern algebra that systematically develops the theory of commutative rings and ideals, coauthored by Oscar Zariski.
All labels observed (3)
| Label | Occurrences |
|---|---|
| "Commutative Algebra, Volume I" canonical | 1 |
| Commutative Algebra (with Oscar Zariski) | 1 |
| Commutative Algebra, Volume I | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T17386217 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: "Commutative Algebra, Volume I" Context triple: [Oscar Zariski, coWrote, "Commutative Algebra, Volume I"]
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A.
Eisenbud’s Commutative Algebra
Eisenbud’s *Commutative Algebra* is a widely used graduate-level textbook that develops modern commutative algebra with strong connections to algebraic geometry, featuring topics such as free resolutions, syzygies, and Castelnuovo–Mumford regularity.
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B.
Cours d’algèbre commutative
Cours d’algèbre commutative is a foundational French textbook on commutative algebra authored by mathematician Jean-Daniel Perrin.
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C.
“Introduction to Commutative Algebra” (with Ian G. Macdonald)
“Introduction to Commutative Algebra” (with Ian G. Macdonald) is a classic introductory textbook that provides a concise, rigorous foundation in commutative algebra, widely used by advanced undergraduates and beginning graduate students in mathematics.
-
D.
Krull’s principal ideal theorem
Krull’s principal ideal theorem is a fundamental result in commutative algebra that relates the height of prime ideals containing a principal ideal to the Krull dimension of the ring.
-
E.
Moderne Algebra
Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: "Commutative Algebra, Volume I" Target entity description: "Commutative Algebra, Volume I" is a foundational graduate-level textbook in modern algebra that systematically develops the theory of commutative rings and ideals, coauthored by Oscar Zariski.
-
A.
Eisenbud’s Commutative Algebra
Eisenbud’s *Commutative Algebra* is a widely used graduate-level textbook that develops modern commutative algebra with strong connections to algebraic geometry, featuring topics such as free resolutions, syzygies, and Castelnuovo–Mumford regularity.
-
B.
Cours d’algèbre commutative
Cours d’algèbre commutative is a foundational French textbook on commutative algebra authored by mathematician Jean-Daniel Perrin.
-
C.
“Introduction to Commutative Algebra” (with Ian G. Macdonald)
“Introduction to Commutative Algebra” (with Ian G. Macdonald) is a classic introductory textbook that provides a concise, rigorous foundation in commutative algebra, widely used by advanced undergraduates and beginning graduate students in mathematics.
-
D.
Krull’s principal ideal theorem
Krull’s principal ideal theorem is a fundamental result in commutative algebra that relates the height of prime ideals containing a principal ideal to the Krull dimension of the ring.
-
E.
Moderne Algebra
Moderne Algebra is a foundational 20th-century textbook that systematically developed abstract algebra and helped shape the modern axiomatic approach to the subject.
- F. None of above. chosen
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: "Commutative Algebra, Volume I"
linked to: "Commutative Algebra, Volume I"