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A unified theory of Grobner bases and an application to syzygies of modules

A unified theory of Grobner bases and an application to syzygies of modules
Grobner基的统一理论及其在模协同中的应用
批准号:
21540048
负责人:
KOBAYASHI Yuji
金额:
$1.16万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2009
资助国家:
日本
项目状态:
已结题
起止时间:
2009 至 2011

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中文摘要
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英文摘要
We develop a unified theory of Grobner bases, and apply it to various calculations concerning algebras, ideals and modules. We construct a theory on an algebra F based on a well-ordered semigroup and on a projective F-module FX, and we prove the critical pair theorem. We obtain a main result that the cycles made from critical pairs in FH form a generating system of syzygies, if H is a Grobner basis on FX.
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The derivational complexities of string rewriting systems
字符串重写系统的推导复杂性
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [Y Kobayashi, K Nakazawa, Yuji Kobayashi, Yuji Kobayashi, Yuji Kobayashi, Yuji Kobayahsi, Yuji Kobayashi, Yuji Kobayashi, 小林ゆう治, Yuji Kobayashi, 小林ゆう治]
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Automata, Formal Languages and Algebraic Systems
自动机、形式语言和代数系统
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [M.Ito, Y.Kobayashi, K.Shoji]
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The derivational complexity of string rewriting systems
字符串重写系统的派生复杂度
DOI: --
发表时间: 2012
期刊: Theoretical Computer Science
影响因子: 1.1
作者: [J. Komeda, A. Ohbuchi, J. Komeda, J. Komeda, J. Komeda, Jiryo Komeda, J. Komeda, 米田二良, J. Komeda, 米田二良, J. Komeda, J. Komeda, 米田二良, J. Komeda, Jiryo Komeda, J. Komeda, Jiryo Komeda, J. Komeda, Jiryo Komeda, Yuji Kobayashi, Yuji Kobayashi]
通讯作者: Yuji Kobayashi
代数・書換え・計算
代数/重写/计算
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [Y Kobayashi, K Nakazawa, Yuji Kobayashi, Yuji Kobayashi, Yuji Kobayashi, Yuji Kobayahsi, Yuji Kobayashi, Yuji Kobayashi, 小林ゆう治]
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