quasigroup

GPTKB entity

Statements (24)
Predicate Object
gptkbp:instanceOf gptkb:algebra
gptkbp:definedIn for all a, b in Q, there exist unique x, y in Q such that a*x = b and y*a = b
gptkbp:example non-associative magma with Latin square property
set with division operation
gptkbp:generalizes gptkb:group_of_people
loop
gptkbp:hasApplication coding theory
cryptography
design theory
gptkbp:hasNo associativity (in general)
identity element (in general)
gptkbp:hasProperty closure
binary operation
Latin square property
unique solution property
https://www.w3.org/2000/01/rdf-schema#label quasigroup
gptkbp:relatedTo gptkb:geometry
combinatorics
non-associative algebra
gptkbp:studiedIn abstract algebra
gptkbp:subunit loop
gptkbp:bfsParent gptkb:Mal'cev_algebra
gptkb:Latin_squares
gptkbp:bfsLayer 8