Lattice Theory

Birkhoff, G. (1967). Lattice Theory.

Type

Book

Intellectual base

Review or monograph

Year

1967

Link

https://www.ams.org/books/coll/025/

Cited from

mathematics

Cited by

3 citations across 3 artifacts.

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

Primes

• Identity Element
  • Reaching for whichever value looks emptiest is wrong roughly half the time.

    This sourceEstablishes the universal bounds of a bounded lattice, where the top element is neutral for meet and the bottom for join, so the neutral element need not be the smallest object in sight.

Domain-specific

• Complete lattice
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Riesz space
  • Archimedean, Dedekind complete, normed and locally convex variants add distinct conditions; vector lattice and Riesz space are synonymous in this setting.

Verification

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Registry ID ref:8869d48c3414 · see in the full table