Algebra II
E178586
"Algebra II" is the second volume of Bartel Leendert van der Waerden’s influential algebra textbook series, which helped shape modern abstract algebra through its rigorous and systematic treatment of the subject.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Algebra II canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1577563 — 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 II Context triple: [Bartel Leendert van der Waerden, notableWork, Algebra II]
-
A.
Advanced Placement
Advanced Placement is a U.S. high school program offering college-level courses and exams that can earn students college credit or advanced standing.
-
B.
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.
-
C.
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.
-
D.
Mathematics
"Mathematics" is a politically charged hip-hop track by Mos Def that critiques social injustice, systemic inequality, and the statistical realities of urban life.
-
E.
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.
- 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 II Target entity description: "Algebra II" is the second volume of Bartel Leendert van der Waerden’s influential algebra textbook series, which helped shape modern abstract algebra through its rigorous and systematic treatment of the subject.
-
A.
Advanced Placement
Advanced Placement is a U.S. high school program offering college-level courses and exams that can earn students college credit or advanced standing.
-
B.
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.
-
C.
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.
-
D.
Mathematics
"Mathematics" is a politically charged hip-hop track by Mos Def that critiques social injustice, systemic inequality, and the statistical realities of urban life.
-
E.
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.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
algebra textbook
ⓘ
mathematics textbook ⓘ |
| author | Bartel Leendert van der Waerden ⓘ |
| contributor |
Emil Artin (indirect influence)
ⓘ
linked to:
Emil Artin
Emmy Noether (indirect influence) ⓘ
linked to:
Emmy Noether
|
| countryOfOrigin | Germany ⓘ |
| field | abstract algebra ⓘ |
| genre | university-level textbook ⓘ |
| hasCharacteristic |
rigorous treatment of algebra
ⓘ
systematic exposition ⓘ |
| hasEdition |
English translation
ⓘ
revised editions ⓘ |
| influenced | development of modern abstract algebra ⓘ |
| intendedAudience |
advanced undergraduates
ⓘ
graduate students in mathematics ⓘ |
| isSequelTo | Algebra I ⓘ |
| language | German ⓘ |
| notableFor |
axiomatic approach to algebra
ⓘ
influence on algebra curricula ⓘ |
| originalTitle |
Moderne Algebra II
ⓘ
linked to:
Moderne Algebra
|
| partOf | Moderne Algebra ⓘ |
| publisher |
Springer-Verlag
ⓘ
linked to:
Springer
|
| timePeriod | 20th century mathematics ⓘ |
| topic |
Galois theory
ⓘ
algebraic number theory ⓘ field theory ⓘ representation theory (in some editions) ⓘ valuation theory ⓘ |
| usedIn | university algebra courses ⓘ |
| volumeNumber | 2 ⓘ |
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 II Description of subject: "Algebra II" is the second volume of Bartel Leendert van der Waerden’s influential algebra textbook series, which helped shape modern abstract algebra through its rigorous and systematic treatment of the subject.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.