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无限可数个变元多项式环上的动态Grobner基
  • ISSN号：1671-9352
  • 期刊名称：《山东大学学报：理学版》
  • 时间：0
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]中国矿业大学理学院,江苏徐州221116
  • 相关基金：国家自然科学基金资助项目（11271275,11171343）;中央高校基本科研业务费专项资金项目（LKSX05）
作者： 王羡[1], 周建洋[1], 马文超[1]
关键词： 动态Grobner基, 主理想环, S-多项式, 动态既约Grobner基, dynamical Grobner bases, principal ideal rings, S-polynomials, dynamical reduced Grobner bases
中文摘要：

将域上无限可数个变元的多项式环的理想的Grobner基理论推广到动态Grobner基上，并讨论了动态既约Grobner基的一个重要性质。

英文摘要：

The theory of Grobner bases for the ideals in a polynomial ring with countably infinite variables over a field is extended to that of dynamical Grobner bases. An important property of the dynamical reduced Grobner bases is discussed.

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期刊信息
  • 《山东大学学报：理学版》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:山东大学
  • 主编：刘建亚
  • 地址：济南市经十路17923号
  • 邮编：250061
  • 邮箱：xblxb@sdu.edu.cn
  • 电话：0531-88396917
  • 国际标准刊号：ISSN：1671-9352
  • 国内统一刊号：ISSN：37-1389/N
  • 邮发代号:24-222
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,波兰哥白尼索引,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘
  • 被引量:6243