On the Structure of Abstract Algebras¶
Birkhoff, G. (1935). On the Structure of Abstract Algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 433-454.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Associativity
- Formal frameworks for associativity appear in universal algebra (Birkhoff (1935) on the structure of abstract algebras codifies associative laws as identities
This sourceFounds universal algebra and the variety (HSP) theorem, codifying associative laws as equational identities; Verified; venue (vol. 31, pp. 433-454) and DOI confirmed.
Supported in partVerified against the publisher's abstract
Birkhoff (1935) is the founding study of abstract algebras, but the only passage retrieved is the paper's endnote apparatus and never mentions associativity or identities.
“The following paper is a study of abstract algebras qua abstract algebras. As no vocabulary suitable for this purpose is current, I have been forced to use a number of new terms, and extend the meaning of some accepted ones.”
- Formal frameworks for associativity appear in universal algebra (Birkhoff (1935) on the structure of abstract algebras codifies associative laws as identities
Verification¶
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Registry ID ref:1b8ae26da8b7 · see in the full table