Linear relation
In linear algebra, a linear relation, or simply relation, between elements of a vector space or a module is a linear equation that has these elements as a solution. More precisely, if e 1 , … , e n {\displaystyle e_{1},\dots ,e_{n}} are elements of a (left) module M over a ring R (the case of a vector space over a field is a special case), a relation between e 1 , … , e n {\displaystyle e_{1},\dots ,e_{n}} is a sequence ( f 1 , … , f n ) {\displaystyle (f_{1},\dots ,f_{n})} of elements of R such that f 1 e 1 + ⋯ + f n e n = 0.