Lattice Theory
E637939
Lattice Theory is a foundational mathematical text that systematically develops the theory of lattices and ordered structures, profoundly influencing modern algebra and order theory.
Statements (39)
| Predicate | Object |
|---|---|
| instanceOf |
foundational text
ⓘ
mathematics book ⓘ monograph ⓘ |
| contribution |
bridge between algebra and order theory
ⓘ
standard notation in lattice theory ⓘ standard terminology in lattice theory ⓘ unified framework for ordered structures ⓘ |
| field |
algebra
ⓘ
lattice theory ⓘ order theory ⓘ |
| hasAspect |
algebraic approach to order structures
ⓘ
applications of lattices in mathematics ⓘ axiomatic treatment of ordered sets ⓘ connections between order and algebra ⓘ systematic development of lattice theory ⓘ |
| importance |
foundational for modern order theory
ⓘ
influential in the development of abstract algebra ⓘ reference work for researchers in lattice theory ⓘ reference work for researchers in order theory ⓘ |
| influenceOn |
category theory
NERFINISHED
ⓘ
domain theory ⓘ logic ⓘ modern algebra ⓘ order theory ⓘ theoretical computer science ⓘ topology ⓘ universal algebra ⓘ |
| topic |
Boolean algebras
ⓘ
complete lattices ⓘ distributive lattices ⓘ lattices ⓘ modular lattices ⓘ ordered structures ⓘ partially ordered sets ⓘ |
| usedIn |
data analysis
ⓘ
fixed point theory ⓘ formal concept analysis ⓘ knowledge representation ⓘ semantics of programming languages ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.