directed prime graph of non-commutative ring
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نویسنده
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patra kuntala ,kalita sanjoy
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منبع
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journal of algebraic structures and their applications - 2021 - دوره : 8 - شماره : 1 - صفحه:1 -12
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چکیده
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Prime graph of a ring r is a graph whose vertex set is the whole set r any any two elements x and y of r are adjacent in the graph if and only if xry = 0 or yrx = 0. prime graph of a ring is denoted by pg(r). directed prime graphs for non-commutative rings and connectivity in the graph are studied in the present paper. the diameter and girth of this graph are also studied in the paper.
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کلیدواژه
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directed graph ,non-commutative ring ,prime graph
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آدرس
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gauhati university, department of mathematics, india, gauhati university, department of mathematics, india
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پست الکترونیکی
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sanjoykalita1@gmail.com
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