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New Results on Ideals in Mv -Algebras
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نویسنده
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Saidi Goraghani S. ,Borzooei R. A.
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منبع
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International Journal Of Industrial Mathematics - 2020 - دوره : 12 - شماره : 3 - صفحه:205 -213
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چکیده
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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 denition 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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کلیدواژه
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Mv -Algebra; Ideal; Ultra Ideal; Chines Reminder Theorem; Pseudo-Hoops
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آدرس
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Farhangian University, Department Of Mathematics, Iran, Shahid Beheshti University, Department Of Mathematics, Iran
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پست الکترونیکی
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borzooei@sbu.ac.ir
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Authors
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