Quantom linar algebra

quantom group consists of of polar non polar and psotive charge negative charge groupr and and negatiena dpsotive charge groups group gorup of the qunatom is closure under teh oepration how it will clased graoup where all have rpsulaive bonding tehn closed associative when eitehr operation is performed (aqob)qoc=aqo(bqoc) why quantom are associative tey asscoiative if they perform any task in such manners identity there exists an elements e elements of g such that eqoa=aqoe=a inverse axioms if all qunatom elmenst wnat to be convert itself in ngative pefroms aqob=bqoa=e quantom have abelian group aqob = bqoa commtative mens reverse or inverse quntom performs well quantom have otehr property tooo polarised assciative if differ quantom where polar is satifeid the prperty (a(+)qob(-))qoc(-)=a(+)qo(b(-)qoc(+)