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一类由模糊理想诱导出的软商环
  • ISSN号：1008-8423
  • 期刊名称：湖北民族学院学报(自然科学版)
  • 时间：2012.9.20
  • 页码：263-265
  • 分类：O153.3[理学—数学;理学—基础数学]
  • 作者机构：[1]湖北民族学院理学院,湖北恩施445000
  • 相关基金：国家自然科学基金项目（61175055）; 湖北省教育厅自然科学研究项目（B20122904）
  • 相关项目：基于格值逻辑的α-n(t)元归结动态自动推理研究
作者： 刘先平|
关键词： 模糊理想, 等价关系, 商环, 理想化软环, 软商环, Fuzzy ideal, equivalence relation, quotient ring, soft quotient ring
中文摘要：

根据环的模糊理想定义一种等价关系把环的元素进行分类,再给出等价类的两种运算,验证等价类构成的集合对给出的两种运算构成一个环,称为商环.进一步由模糊理想诱导出一类理想化软环的软商环,并讨论这类软商环的基本性质.

英文摘要：

An equivalence relation is defined by fuzzy ideals and equivalence classes of a ring are given, and two operations of the equivalence classes are given,then the set of all equivalence classes is proved to be a ring,which is called quotient ring.Furthermore,a kind of soft quotient ring induced by fuzzy ideals is introduced and some properties of it are given.

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基于格值逻辑的α-n(t)元归结动态自动推理研究
期刊论文 279 会议论文 102 获奖 8
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期刊信息
  • 《湖北民族学院学报：自然科学版》
  • 主管单位:湖北省教委
  • 主办单位:湖北民族学院
  • 主编：汪兴平
  • 地址：湖北恩施市学院路39号
  • 邮编：445000
  • 邮箱：myxblk@126.com
  • 电话：0718-8438535-608
  • 国际标准刊号：ISSN：1008-8423
  • 国内统一刊号：ISSN：42-1569/N
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,英国农业与生物科学研究中心文摘,德国数学文摘
  • 被引量:4103