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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
Аннотация:
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.
Ключевые слова и фразы:
obstinate, primary, Boolean state ideals; state locally finite, state local, state simple algebras.
Поступила в редакцию: 10.09.2016 Исправленный вариант: 15.01.2019
Образец цитирования:
F. Forouzesh, A. Darijani, “Some classes of state ideals in state $MV$-algebras”, Eurasian Math. J., 10:2 (2019), 37–48
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj328 https://www.mathnet.ru/rus/emj/v10/i2/p37
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Страница аннотации: | 176 | PDF полного текста: | 77 | Список литературы: | 30 |
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