Kybernetika 44 no. 3, 441-450, 2008

New operations on partial Abelian monoids defined by preideals

Elena Vinceková


We consider partial abelian monoids, in particular generalized effect algebras. From the given structures, we construct new ones by introducing a new operation $\oplus$, which is given by restriction of the original partial operation + with respect to a special subset called . We bring some derived properties and characterizations of these new built structures, supporting the results by illustrative examples.