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zero divisor graph in mv −algebras
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نویسنده
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sajadian farhad ,bedrood mahta ,borumand saeid arsham
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منبع
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كنفرانس نظريه گراف و تركيبيات جبري - 2020 - دوره : 11 - یازدهمین کنفرانس بین المللی نظریه گراف و ترکیبیات جبری ایران - کد همایش: 9919164009 - صفحه:162 -165
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چکیده
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In this article, the relationship between minimal prime ideals and zero divisors are investigated. weprove the set of all zero divisors mv −algebra contains at least one prime ideal of mv −algebra and theset of all zero divisors of mv −algebra is a union of all minimal prime ideals of mv −algebra. also, it isproved that every element of a minimal prime ideal of mv −algebra is a zero divisor. we introduce zerodivisor graph in mv −algebra and prove that this graph is connected.
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کلیدواژه
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zero divisor graph ,minimal prime ,mv −algrebra
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آدرس
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higher education complex of bam, iran, shahid bahonar university of kerman, iran, shahid bahonar university of kerman, iran
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پست الکترونیکی
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arsham@uk.ac.ir
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Authors
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