New Results on Ideals in MV -algebras
In the present paper, by considering the notion of ideals in MV -algebras, we study some kinds of ideals in MV -algebras and obtain some results on them. For example, we present definition of ultra ideal in MV -algebras, and we get some results on it. In fact, by definition of ultra ideals, we present new conditions to have prime ideals, positive implicative ideals and maximal ideals in MV -algebras. Also, we state some properties on contracted or extended ideals as useful examples of ideals in MV -algebras. Finally, we try to prove the Chines reminder theorem in MV -algebras.
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