Primitive lattice element
= Primitive lattice element
{title2=$v\in\mathbb Z^n$}
A nonzero element of a <free abelian group> is primitive when it is part of an integral basis, equivalently when some homomorphism to $\mathbb Z$ takes it to one. Its coordinates have <greatest common divisor> one. This lattice meaning differs from a <primitive homology class> in the coalgebra sense.