Fundamental Concepts of Algebra
E559867
Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Fundamental Concepts of Algebra canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5970310 — 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: Fundamental Concepts of Algebra Context triple: [Claude Chevalley, notableWork, Fundamental Concepts of Algebra]
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A.
Algebra I
"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.
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B.
Algebra II
"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.
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C.
Arithmetic, Algebra, Analysis
"Arithmetic, Algebra, Analysis" is a foundational mathematics text that systematically develops core topics in number theory, algebraic structures, and real analysis from a rigorous, advanced perspective.
-
D.
Algebra Project
The Algebra Project is a U.S. mathematics education initiative founded by civil rights activist Bob Moses to improve algebra access and achievement for historically underserved students.
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E.
Elements of Arithmetic
Elements of Arithmetic is a foundational 19th-century mathematics textbook by Augustus De Morgan that systematically develops the principles of arithmetic and number theory.
- 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: Fundamental Concepts of Algebra Target entity description: Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
-
A.
Algebra I
"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.
-
B.
Algebra II
"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.
-
C.
Arithmetic, Algebra, Analysis
"Arithmetic, Algebra, Analysis" is a foundational mathematics text that systematically develops core topics in number theory, algebraic structures, and real analysis from a rigorous, advanced perspective.
-
D.
Algebra Project
The Algebra Project is a U.S. mathematics education initiative founded by civil rights activist Bob Moses to improve algebra access and achievement for historically underserved students.
-
E.
Elements of Arithmetic
Elements of Arithmetic is a foundational 19th-century mathematics textbook by Augustus De Morgan that systematically develops the principles of arithmetic and number theory.
- F. None of above. chosen
Statements (30)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
textbook ⓘ |
| approach |
axiomatic
ⓘ
rigorous ⓘ |
| author | Claude Chevalley ⓘ |
| emphasizes |
proof-based learning
ⓘ
structure of algebraic systems ⓘ |
| field | abstract algebra ⓘ |
| focus | modern algebra ⓘ |
| influenced | teaching of modern algebra ⓘ |
| intendedAudience |
advanced undergraduates
ⓘ
graduate students ⓘ |
| language | English ⓘ |
| relatedWork |
Introduction to Algebra
ⓘ
linked to:
An Introduction to Algebra
Modern Algebra textbooks ⓘ |
| subject |
field theory
ⓘ
group theory ⓘ ring theory ⓘ |
| topic |
Galois theory
ⓘ
algebraic extensions ⓘ factorization ⓘ field extensions ⓘ fields ⓘ groups ⓘ homomorphisms ⓘ ideals ⓘ polynomials ⓘ quotient groups ⓘ rings ⓘ |
| usedIn | university 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: Fundamental Concepts of Algebra Description of subject: Fundamental Concepts of Algebra is a foundational mathematics text by Claude Chevalley that systematically develops modern abstract algebra, particularly group, ring, and field theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.