| Popis: |
Decomposer functions in algebraic structures are studied in many recent papers. They have close relations to factorization by two subsets. Also, idempotent endomorphisms form a class of (strong) decomposer functions in groups. Now, if the algebraic structure is a group, then by introducing a type of local homomorphisms we obtain several properties and equivalent conditions for many classes of decomposer functions and get a new result regarding to factorization of a group by its two subsets. Moreover, we prove existence of (two-sided) decomposer type functions in non-simple groups |
