(a) Prove that a ring $R$ is without zero divisors iff cancelation la…
Previous year question for Discrete Mathematics.
Question
(a) Prove that a ring $R$ is without zero divisors iff cancelation laws hold in it.
(b) Let $f:G \to G'$ be a group homomorphism. Then show that kernel of $f$ is a normal subgroup of $G$.
(c) Prove that any two left (right) cosets of a subgroup in a group are either identical or disjoint.
- Year: 2018
- Subject: Discrete Mathematics