Latin squares and finite quasigroups are equivalent mathematical objects, although the former has a combinatorial nature while the latter is more algebraic...

See Small Latin squares and quasigroups. For a countably infinite quasigroup Q, it is possible to imagine an infinite array in which every row and every...

tables) of quasigroups. A binary operation whose table of values forms a Latin square is said to obey the Latin square property. Sets of Latin squares that...

given order Small Latin squares and quasigroups Sylow theorems Identifier when groups are numbered by order, o, then by index, i, from the small groups library...

orthogonal Latin squares is Graeco-Latin square, introduced by Euler. A Graeco-Latin square or Euler square or pair of orthogonal Latin squares of order...

a class of finite quasigroups quadratic if there is a positive real number α {\displaystyle \alpha } such that any two quasigroups ( Q , ∗ ) {\displaystyle...

topics in graph theory and combinatorics: convex polyhedra, quasigroups, special decompositions into Hamiltonian paths, Latin squares, decompositions of complete...

commutative. Quasigroup: a magma obeying the Latin square property. A quasigroup may also be represented using three binary operations. Loop: a quasigroup with...

for which both a \ b and b / a exist and are unique for all a and all b (the Latin square property) is a quasigroup. In a quasigroup, division in this sense...

2016-03-27. Retrieved 2016-03-18. Robertson, John P. (1996-10-01). "Magic Squares of Squares". Mathematics Magazine. 69 (4): 289–293. doi:10.1080/0025570X.1996...

between elements of G F ( p ) {\displaystyle \mathrm {GF} (p)} represented by Latin letters are the operations in G F ( p ) {\displaystyle \mathrm {GF} (p)}...