Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 장보금 | - |
dc.creator | 장보금 | - |
dc.date.accessioned | 2016-08-26T12:08:35Z | - |
dc.date.available | 2016-08-26T12:08:35Z | - |
dc.date.issued | 2001 | - |
dc.identifier.other | OAK-000000071717 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/190869 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000071717 | - |
dc.description.abstract | Let k be a field and R be a polynomial ring in n variables over k. Every ideal I of R=k[x₁, ... ,x_n]can be written as a finite intersection of primary ideals. A monomial ideal is an ideal of k[x₁, ... ,xn] that can be generated by monomials in the variables x₁, ... ,x_n. In this thesis, we study definitions and various properties of primary decompositions of ideals in k[x₁, ... ,x_n]. In particular, we study various properties of primary decompositions of monomial ideals in k[x₁, ... ,x_n]. We find a minimal primary decomposition of 0 in k[x₁, x₂]/I for a monomial ideal I in k[x₁, x₂] and in k[x₁, x₂, x₃]/J for a monomial ideal in k[x₁, x₂, x₃]/J.;이 논문에서는 monomial ideal의 primary decomposition을 구하는 방법을 찾아보았고, 0의 minimal primary decompoisition이 unique하지 않는 예를 variable이 2개일 때와 3개일 때 각각 찾아보았다. | - |
dc.description.tableofcontents | Abstract = ii Introduction = 1 1. Primary Decomposition of Ideals in k[x₁, ... ,x_n] = 3 2. Primary Decomposition of Monomial Ideals in k[x₁, ... ,x_n] = 13 3. Examples = 20 References = 26 논문초록 = 27 | - |
dc.format | application/pdf | - |
dc.format.extent | 473783 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.title | Primary decomposition of monomial ideals | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 27 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 2001. 2 | - |