Lattice theory. (English) Zbl 0063.00402

Birkhoff, Garrett

New York: American Mathematical Society (AMS). v, 155 p. (1940).

See the review by Gottfried Köthe of the second edition (1948) in Zbl 0033.10103.
The chapter headings: I. Partially Ordered Systems; II. Lattices; III. Modular Lattices; IV. Complemented Modular Lattices; V. Distributive Lattices; VI. Boolean Algebras; VII. Applications to Function Theory; VIII. Applications to Logic; and IX. Applications to Probability.

MSC:

06-02

Research exposition (monographs, survey articles) pertaining to ordered structures

Keywords:

lattices; partial order; chains; chain conditions; complete lattices; modular lattices; application to algebra; semi-modular lattices; complemented modular lattices; distributive lattices; Boolean algebras; applications to set theory; applications to logic and probability; lattice-ordered semigroups; lattice-ordered groups; vector lattices; ergodic theory

Citations:

Zbl 0033.10103