Complement of Zero Divisors in Commutative Rings

碩士 === 國立中正大學 === 數學所 === 96 === Let $R$ be a commutative ring with identity and $Gamma(R)$ denotes its zero-divisor graph. We find all finite non-local rings $R$ such that $overline{Gamma(R)}$ have genus at most one, where $overline{Gamma(R)}$ denote the complement graph of $Gamma(R)$. We also find...

Full description

Bibliographic Details
Main Authors: Wei-chieh Su, 蘇煒傑
Other Authors: Hsin-Ju Wang
Format: Others
Language:en_US
Online Access:http://ndltd.ncl.edu.tw/handle/61480295974135204392