Triple
T15918654
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | George Bergman |
E386035
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Invitation to General Algebra and Universal Constructions
"Invitation to General Algebra and Universal Constructions" is a graduate-level mathematics textbook by George Bergman that introduces general algebraic structures and category-theoretic methods, emphasizing universal properties and constructions.
|
E1182415
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Invitation to General Algebra and Universal Constructions | Statement: [George Bergman, notableWork, Invitation to General Algebra and Universal Constructions]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Invitation to General Algebra and Universal Constructions Context triple: [George Bergman, notableWork, Invitation to General Algebra and Universal Constructions]
-
A.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
B.
“Abelian Categories: An Introduction to the Theory of Functors”
“Abelian Categories: An Introduction to the Theory of Functors” is a foundational monograph in category theory that systematically develops the theory of abelian categories and functors, significantly shaping modern homological algebra.
-
C.
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.
-
D.
A Survey of Modern Algebra
A Survey of Modern Algebra is a classic and influential textbook that systematically introduces the fundamental concepts and structures of modern abstract algebra.
-
E.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Invitation to General Algebra and Universal Constructions Triple: [George Bergman, notableWork, Invitation to General Algebra and Universal Constructions]
Generated description
"Invitation to General Algebra and Universal Constructions" is a graduate-level mathematics textbook by George Bergman that introduces general algebraic structures and category-theoretic methods, emphasizing universal properties and constructions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Invitation to General Algebra and Universal Constructions Target entity description: "Invitation to General Algebra and Universal Constructions" is a graduate-level mathematics textbook by George Bergman that introduces general algebraic structures and category-theoretic methods, emphasizing universal properties and constructions.
-
A.
Categories for the Working Mathematician
Categories for the Working Mathematician is a foundational textbook in category theory that systematically develops the subject and its applications for professional mathematicians.
-
B.
“Abelian Categories: An Introduction to the Theory of Functors”
“Abelian Categories: An Introduction to the Theory of Functors” is a foundational monograph in category theory that systematically develops the theory of abelian categories and functors, significantly shaping modern homological algebra.
-
C.
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.
-
D.
A Survey of Modern Algebra
A Survey of Modern Algebra is a classic and influential textbook that systematically introduces the fundamental concepts and structures of modern abstract algebra.
-
E.
Sheaves in Geometry and Logic
Sheaves in Geometry and Logic is a foundational monograph that develops the theory of sheaves and topos theory and explores their deep connections to geometry, logic, and the foundations of mathematics.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69d86da686e4819097cbf3b1fc2d881d |
completed | April 10, 2026, 3:25 a.m. |
| NER | Named-entity recognition | batch_69e1567ff9e48190b73cb101fc3f7b2b |
completed | April 16, 2026, 9:37 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69ffb05d1fb481909b42bea774a15c70 |
completed | May 9, 2026, 10:08 p.m. |
| NEDg | Description generation | batch_69ffb0cfac808190b32bb25659603fb4 |
completed | May 9, 2026, 10:10 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69ffb15b987c8190ae9c96f15fc55b27 |
completed | May 9, 2026, 10:12 p.m. |
Created at: April 10, 2026, 4:52 a.m.