Some classes of state ideals in state MV-algebras
Fereshteh Forouzesha, Ali Darijani · Eurasian Mathematical Journal · 2019
In this paper, we introduce some types of state ideals in state MV-algebras such as: obstinate state ideals, primary state ideals, and Boolean state ideals in state MV-algebras. We present some characterizations of them and investigate some relations between them. We consider the quotient algebras induced by these state ideals and prove some related theorems.