ON FREE PRODUCT OF N-COGROUPS
Abstract: The structure of
rings has been generalized into near-rings which are not as strong as the first
one. The additive group in a near-ring is not necessary anabelian group and it
is allowed to have only one sided distributive law. Moreover, ifthere exists an
action from a near-ring N to a group Γ , then the group Γ is calledan N-group.
On the other hand, with a different axiom, an action from a near-ring into a
group could obtain an N-cogroup. In this paper we apply the definition offree
product of groups as an alternative way to build a product of N-cogroups. Thisproduct
can be viewed as a functor and we prove that this functor is a left adjointfunctor.
Moreover using this functor one can obtain a category of F -algebras.
Author: Indah Emilia Wijayanti
Journal Code: jpmatematikagg120016
