Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

Let $M$ be a not necessarily free module over a commutative unital ring. True or false: if every linear form assigns to a vector of $M$ zero, then the vector is the zero vector?

share|improve this question

1 Answer 1

up vote 3 down vote accepted

Counterexample: $R=\mathbb Z$ and $M=\mathbb Z/2$.

share|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.