An associated graph to a commutative ring
Publish Year: 1396
نوع سند: مقاله کنفرانسی
زبان: English
View: 386
This Paper With 5 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
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].
Keywords:
Authors
Fatemeh Esmaeili Khalil Saraei
Faculty of Fouman, College of Engineering, University of Tehran, P. O. Box. ۴۳۵۱۵-۱۱۵۵, Fouman, Iran