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Eurasian Mathematical Journal, 2019, Volume 10, Number 2, Pages 37–48
DOI: https://doi.org/10.32523/2077-9879-2019-10-2-37-48 (Mi emj328) 		 
Some classes of state ideals in state $MV$-algebras

F. Forouzesh, A. Darijani

Faculty of Mathematics and computing, Higher Education Complex of Bam, Iran, Khalij fars St., Bam, Iran
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DOI: https://doi.org/10.32523/2077-9879-2019-10-2-37-48
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.
Keywords and phrases: obstinate, primary, Boolean state ideals; state locally finite, state local, state simple algebras.
Received: 10.09.2016
Revised: 15.01.2019
Bibliographic databases:
Document Type: Article
MSC: 03B50, 03G25, 06D35
Language: English
Citation: F. Forouzesh, A. Darijani, “Some classes of state ideals in state $MV$-algebras”, Eurasian Math. J., 10:2 (2019), 37–48
Citation in format AMSBIB
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\by F.~Forouzesh, A.~Darijani
\paper Some classes of state ideals in state $MV$-algebras
\jour Eurasian Math. J.
\yr 2019
\vol 10
\issue 2
\pages 37--48
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