SEMIHOMOMORPHISMS ON ABELIAN GROUPS
Inthisnote,wedefineanm-semihomomorphismfonan Abelian group as a function satisfying for some element a. We prove that the set of all m-semihomorphisms on Q, or p is a prime, is a commutative inverse semigroup and compute its order in case of Then we compute the semigroup of 2-semihomorphisms on a general
m-semihomomorphism, Abelian group.
