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some properties of the essential annihilating-ideal graph of commutative rings
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نویسنده
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nazim mohd ,rehman nadeem ur ,mir shabir ahmad
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منبع
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communications in combinatorics and optimization - 2023 - دوره : 8 - شماره : 4 - صفحه:715 -724
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چکیده
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Let s be a commutative ring with unity and a(s) denotes the set of annihilating-ideals of s. the essential annihilating-ideal graph of s, denoted by eg(s), is an undirected graph with a∗(s) as the set of vertices and for distinct i, j ∈ a∗(s), i ∼ j is an edge if and only if ann(ij ) ≤e s. in this paper, we classify the artinian rings s for which eg(s) is projective. we also discuss the coloring of eg(s). moreover, we discuss the domination number of eg(s).
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کلیدواژه
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annihilating-ideal graph; essential annihilating-ideal graph; crosscap of a graph; domination number of a graph
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آدرس
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aligarh muslim university, department of mathematics, india, aligarh muslim university, department of mathematics, india, aligarh muslim university, department of mathematics, india
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پست الکترونیکی
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mirshabir967@gmail.com
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Authors
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