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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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