Zero-divisor graphs of higher genus

碩士 === 國立中正大學 === 數學所 === 95 === In this article, we discuss the genus of the zero-divisor graphs associated to a commutative ring and determine which rings $R$ of the form $R_1 imes R_2 imes cdots imes R_n$, where $R_i simeq mathbb{Z}_{p_i^{alpha}}$ or $R_i simeq mathbb{F}_{p_i^{alpha}}$, are of...

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Bibliographic Details
Main Authors:	Yao-Hsuan Huang, 黃耀軒
Other Authors:	Hung-Jen Chiang-Hsieh
Format:	Others
Language:	en_US
Published:	2007
Online Access:	http://ndltd.ncl.edu.tw/handle/72028581341816265999

id	ndltd-TW-095CCU05479009
record_format	oai_dc
spelling	ndltd-TW-095CCU054790092015-10-13T14:08:36Z http://ndltd.ncl.edu.tw/handle/72028581341816265999 Zero-divisor graphs of higher genus Zero-divisorgraphsofhighergenus Yao-Hsuan Huang 黃耀軒碩士國立中正大學數學所 95 In this article, we discuss the genus of the zero-divisor graphs associated to a commutative ring and determine which rings $R$ of the form $R_1 imes R_2 imes cdots imes R_n$, where $R_i simeq mathbb{Z}_{p_i^{alpha}}$ or $R_i simeq mathbb{F}_{p_i^{alpha}}$, are of genus $gamma(Gamma(R)) = 2$. Hung-Jen Chiang-Hsieh 江謝宏任 2007 學位論文 ; thesis 30 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 國立中正大學 === 數學所 === 95 === In this article, we discuss the genus of the zero-divisor graphs associated to a commutative ring and determine which rings $R$ of the form $R_1 imes R_2 imes cdots imes R_n$, where $R_i simeq mathbb{Z}_{p_i^{alpha}}$ or $R_i simeq mathbb{F}_{p_i^{alpha}}$, are of genus $gamma(Gamma(R)) = 2$.
author2	Hung-Jen Chiang-Hsieh
author_facet	Hung-Jen Chiang-Hsieh Yao-Hsuan Huang 黃耀軒
author	Yao-Hsuan Huang 黃耀軒
spellingShingle	Yao-Hsuan Huang 黃耀軒 Zero-divisor graphs of higher genus
author_sort	Yao-Hsuan Huang
title	Zero-divisor graphs of higher genus
title_short	Zero-divisor graphs of higher genus
title_full	Zero-divisor graphs of higher genus
title_fullStr	Zero-divisor graphs of higher genus
title_full_unstemmed	Zero-divisor graphs of higher genus
title_sort	zero-divisor graphs of higher genus
publishDate	2007
url	http://ndltd.ncl.edu.tw/handle/72028581341816265999
work_keys_str_mv	AT yaohsuanhuang zerodivisorgraphsofhighergenus AT huángyàoxuān zerodivisorgraphsofhighergenus
_version_	1717748887328915456

Zero-divisor graphs of higher genus

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