A Survey of Modern Algebra
E637940
A Survey of Modern Algebra is a classic and influential textbook that systematically introduces the fundamental concepts and structures of modern abstract algebra.
All labels observed (1)
| Label | Occurrences |
|---|---|
| A Survey of Modern Algebra canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7059207 — 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: A Survey of Modern Algebra Context triple: [Garrett Birkhoff, notableWork, A Survey of Modern Algebra]
-
A.
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.
-
B.
Theorie der Gruppen von endlicher Ordnung
"Theorie der Gruppen von endlicher Ordnung" is a foundational mathematical monograph on finite group theory that helped shape the modern development of abstract algebra.
-
C.
Concepts of Modern Mathematics
Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
-
D.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
-
E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
- 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: A Survey of Modern Algebra Target entity description: A Survey of Modern Algebra is a classic and influential textbook that systematically introduces the fundamental concepts and structures of modern abstract algebra.
-
A.
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.
-
B.
Theorie der Gruppen von endlicher Ordnung
"Theorie der Gruppen von endlicher Ordnung" is a foundational mathematical monograph on finite group theory that helped shape the modern development of abstract algebra.
-
C.
Concepts of Modern Mathematics
Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
-
D.
A Course in Arithmetic
A Course in Arithmetic is a classic introductory text in number theory by Jean-Pierre Serre, renowned for its concise and elegant treatment of fundamental arithmetic and algebraic concepts.
-
E.
Treatise on Demonstration of Problems of Algebra
Treatise on Demonstration of Problems of Algebra is a seminal mathematical work by Omar Khayyam in which he systematically analyzes and geometrically solves cubic equations.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
mathematics book
ⓘ
textbook ⓘ |
| emphasizes |
connections between different algebraic systems
ⓘ
systematic development of algebraic structures ⓘ |
| hasAuthor |
Garrett Birkhoff
ⓘ
Saunders Mac Lane ⓘ |
| hasLanguage | English ⓘ |
| hasPedagogicalStyle |
axiomatic
ⓘ
rigorous ⓘ theorem-and-proof oriented ⓘ |
| hasSubject |
Boolean algebras
ⓘ
Galois theory ⓘ Noetherian rings ⓘ Sylow theorems ⓘ abstract algebra ⓘ algebraic extensions ⓘ bilinear forms ⓘ categories (introductory treatment) ⓘ factorization in integral domains ⓘ field theory ⓘ finite abelian groups ⓘ finite fields ⓘ group theory ⓘ homomorphisms ⓘ ideals ⓘ lattices ⓘ linear algebra ⓘ modern algebra ⓘ modules ⓘ modules over principal ideal domains ⓘ permutation groups ⓘ polynomial rings ⓘ quotient structures ⓘ representation of groups ⓘ ring theory ⓘ separable extensions ⓘ tensor products ⓘ vector spaces ⓘ |
| influenced | subsequent algebra textbooks ⓘ |
| isConsidered |
classic textbook in abstract algebra
ⓘ
influential textbook in modern algebra ⓘ |
| isDescribedAs | systematic introduction to fundamental concepts of modern abstract algebra ⓘ |
| isUsedAs |
graduate-level reference
ⓘ
university textbook ⓘ |
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: A Survey of Modern Algebra Description of subject: A Survey of Modern Algebra is a classic and influential textbook that systematically introduces the fundamental concepts and structures of modern abstract algebra.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.