Some new ideals in L-algebras

In this paper, we introduce the concepts of obstinate ideals and positive implicativeideals in L-algebras. We state and prove some theorems that determine therelationship between these notions and other types of ideals in L-algebras.For example, it is proved that in any L-algebra, every obstinate ideal is a maximalideal and every obstinate ideal is a positive implicative ideal.

Keywords:

L-algebra , obstinate ideal , positive implicative ideal