New Results on Ideals in MV-‎algebras‎

سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 69

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شناسه ملی سند علمی:

JR_IJIM-12-3_001

تاریخ نمایه سازی: 26 دی 1402

چکیده مقاله:

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.

نویسندگان

S. Saidi Goraghani

Department of Mathematics, Farhangian University, Tehran, ‎Iran‎.

R. A. Borzooei

Department of Mathematics, Shahid Beheshti University, Tehran, ‎Iran.‎