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a note on total graph of commutative krasner hyperrings
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نویسنده
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navidinia elnaz ,khojali ahmad ,esmaeili khalil saraei fatemeh
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منبع
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journal of algebra and related topics - 2025 - دوره : 13 - شماره : 1 - صفحه:87 -97
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چکیده
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The purpose of this paper is to introduce the notion of total graph of krasner hyperrings. in this regard, a connection between the graph theory and the theory of hyperrings is constructed and some fundamental properties of the total graph of krasner hyperrings are investigated. finally, for a multiplicative-prime subset $h$ of a hyperring $r$, the diameter and the girth of $gamma_{!!h}(rsetminus h),mbox{and}, gamma_{!!h}(h)$ are computed precisely.
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کلیدواژه
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total graph ,krasner hyperring ,prime hyperideal
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آدرس
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university of mohaghegh ardabili, department of mathematics, iran, university of mohaghegh ardabili, department of mathematics, iran, university of tehran, fouman faculty of engineering, college of engineering, iran
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پست الکترونیکی
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f.esmaeili.kh@ut.ac.ir
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Authors
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