Geodesic
Some classes of state ideals in state $MV$-algebras
Eurasian mathematical journal, Tome 10 (2019) no. 2, pp. 37-48

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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. 
@article{EMJ_2019_10_2_a2,
     author = {F. Forouzesh and A. Darijani},
     title = {Some classes of state ideals in state $MV$-algebras},
     journal = {Eurasian mathematical journal},
     pages = {37--48},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2019_10_2_a2/}
}
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F. Forouzesh; A. Darijani. Some classes of state ideals in state $MV$-algebras. Eurasian mathematical journal, Tome 10 (2019) no. 2, pp. 37-48. http://geodesic.mathdoc.fr/item/EMJ_2019_10_2_a2/