Éléments de mathématique, Livre II: Algèbre

Bourbaki, N. (. (1958). Éléments de mathématique, Livre II: Algèbre: Algèbre.

Type

Book

Intellectual base

Review or monograph

Year

1958

Link

https://archives-bourbaki.ahp-numerique.fr/elements-mathematique

Cited from

mathematics

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Closure
  • … both; a field adds multiplicative inverses for non-zero elements with closure under multiplicative inverse; a vector space over a field requires closure under vector addition and scalar multiplication; a module generalises vector spaces over rings rather than fields, again with closure under module operations.

    This sourceModern axiomatic treatment of algebraic structures with closure as a foundational axiom of each layer (magma, semigroup, monoid, group, ring, field, vector space, algebra); the canonical reference for the closure-axiomatic framing of structural algebra.

Domain-specific

• Sign (mathematics)
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.

Verification

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