Algebra I
E178585
"Algebra I" is a foundational textbook by Bartel Leendert van der Waerden that systematically presents modern abstract algebra and has profoundly influenced algebra education and research.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Algebra I canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1577562 — 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: Algebra I Context triple: [Bartel Leendert van der Waerden, notableWork, Algebra I]
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A.
SLC
SLC is a collegiate athletic conference in the NCAA Division I primarily comprising universities from the South Central United States.
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B.
SLC
SLC is the three-letter IATA airport code for Salt Lake City International Airport, a major air travel hub serving Salt Lake City, Utah.
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C.
Inequalities
"Inequalities" is a classic mathematical monograph by G. H. Hardy (with J. E. Littlewood and G. Pólya) that systematically develops the theory and applications of mathematical inequalities.
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D.
MA 129
MA 129 is a state highway in Massachusetts that runs east–west through several communities north of Boston, connecting inland towns to the Atlantic coast.
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E.
Principles of Mathematics
Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
- 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: Algebra I Target entity description: "Algebra I" is a foundational textbook by Bartel Leendert van der Waerden that systematically presents modern abstract algebra and has profoundly influenced algebra education and research.
-
A.
SLC
SLC is a collegiate athletic conference in the NCAA Division I primarily comprising universities from the South Central United States.
-
B.
SLC
SLC is the three-letter IATA airport code for Salt Lake City International Airport, a major air travel hub serving Salt Lake City, Utah.
-
C.
Inequalities
"Inequalities" is a classic mathematical monograph by G. H. Hardy (with J. E. Littlewood and G. Pólya) that systematically develops the theory and applications of mathematical inequalities.
-
D.
MA 129
MA 129 is a state highway in Massachusetts that runs east–west through several communities north of Boston, connecting inland towns to the Atlantic coast.
-
E.
Principles of Mathematics
Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
algebra textbook
ⓘ
mathematics textbook ⓘ |
| academicDiscipline | mathematics ⓘ |
| approach |
rigorous
ⓘ
theory-oriented ⓘ |
| author |
Bartel Leendert van der Waerden
ⓘ
Bartel van der Waerden ⓘ
linked to:
Bartel Leendert van der Waerden
|
| emphasizes |
general theory over special cases
ⓘ
structure over computation ⓘ |
| genre | university textbook ⓘ |
| hasImpact |
dissemination of abstract algebraic methods
ⓘ
standardization of algebra curriculum ⓘ |
| hasPart | Algebra II ⓘ |
| hasReputation |
classical reference in abstract algebra
ⓘ
foundational text in modern algebra ⓘ |
| historicalContext | development of modern abstract algebra in the 20th century ⓘ |
| influenced |
algebra education
ⓘ
algebra research ⓘ |
| intendedAudience |
advanced mathematics students
ⓘ
mathematicians ⓘ |
| languageOfAvailableEditions |
English
ⓘ
German ⓘ other European languages ⓘ |
| notableFor |
axiomatic approach to algebra
ⓘ
systematic presentation of modern abstract algebra ⓘ unifying treatment of algebraic structures ⓘ |
| originalLanguage | German ⓘ |
| partOf | Moderne Algebra ⓘ |
| subject |
abstract algebra
ⓘ
field theory ⓘ group theory ⓘ modern algebra ⓘ ring theory ⓘ vector spaces ⓘ |
| teaches |
axiomatic definition of groups
ⓘ
fields and field extensions ⓘ homomorphisms and isomorphisms of groups ⓘ rings and ideals ⓘ vector spaces and linear transformations ⓘ |
| usedIn |
advanced undergraduate algebra courses
ⓘ
graduate algebra courses ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Algebra I Description of subject: "Algebra I" is a foundational textbook by Bartel Leendert van der Waerden that systematically presents modern abstract algebra and has profoundly influenced algebra education and research.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.