本文選題：邊理想　切入點(diǎn)：無平方因子　出處：《蘇州大學(xué)》2015年碩士論文　論文類型：學(xué)位論文

【摘要】：本文主要分為五部分,前兩章分別介紹了文章的研究背景及相關(guān)預(yù)備知識(shí)。令G為一簡單圖,I為它的邊理想。文獻(xiàn)[9]中作者證明了定理：Ass(R/I)(?) Ass(R/I2) (?) Ass(R/I3)(?)...。在第三章,本文將給出此定理一個(gè)更為簡單的證明。令G為一連通圖,它只含一個(gè)奇圈,且除此之外不含其他圈。第四章著重研究了若I為圖G的邊理想,Ass(R/It)能在何處達(dá)到穩(wěn)定。第五章證明了無平方單項(xiàng)式理想I為標(biāo)準(zhǔn)撓自由時(shí),其子式也為標(biāo)準(zhǔn)撓自由,同時(shí)I具有packing性質(zhì)。
[Abstract]:This paper is mainly divided into five parts. The first two chapters introduce the research background and related preparatory knowledge of the paper respectively. Let G be a simple graph I as its edge ideal. ) Assan R / I2)? Assan R / I 3? In Chapter 3, we will give a simpler proof of this theorem. Let G be a connected graph, and it contains only one odd cycle. In chapter 4th, we focus on where the edge ideal Assr / I can achieve stability if I is the graph G. Chapter 5th proves that the subform of the square monomial ideal I is the standard torsion freedom when I is the standard torsion freedom. At the same time, I has packing property.
【學(xué)位授予單位】：蘇州大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2015
【分類號(hào)】：O153.3

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1 吳繪繪;單項(xiàng)式理想冪的代數(shù)性質(zhì)[D];蘇州大學(xué);2015年

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本文編號(hào)：1593625