An associated graph to a commutative ring

Publish Year: 1396
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:

ICRSIE03_270

تاریخ نمایه سازی: 8 آذر 1396

Abstract:

In this paper we present a new graph that is closely related to the total graph of rings. Let R be a commutative ring and Z(R) be the set of all zero divisors of R. The extended graph of a commutative ring R is the graph GT(T(R)) with all elements of R as vertices and two nonzero distinct elements x,yER are adjacent if and only if there exist positive integers m and n such that xm+ynE Z(R) . The main purpose of this paper is to extend the definition and some results given in [2].

Authors

Fatemeh Esmaeili Khalil Saraei

Faculty of Fouman, College of Engineering, University of Tehran, P. O. Box. ۴۳۵۱۵-۱۱۵۵, Fouman, Iran