Some classes of state ideals in state MV-algebras

Fereshteh Forouzesha; Ali Darijani

Some classes of state ideals in state MV-algebras

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Authors

Fereshteh Forouzesha
Ali Darijani

Keywords:

obstinate, primary, Boolean state ideals, state locally finite, state local, state simple algebras

Abstract

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.

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Published

2024-05-29

How to Cite

Forouzesha, F., & Darijani, A. (2024). Some classes of state ideals in state MV-algebras. Eurasian Mathematical Journal, 10(2). Retrieved from https://emj.enu.kz/index.php/main/article/view/145