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模糊半环上的模糊半模范畴
引用本文:陈桂英. 模糊半环上的模糊半模范畴[J]. 枣庄师专学报, 2008, 25(2): 21-23
作者姓名:陈桂英
作者单位:聊城大学数学科学学院,山东聊城252059
基金项目:山东省自然科学基金 , 聊城大学青年基金
摘    要:本文从范畴角度研究模糊半环上的模糊半模,首先给出了半环上的半模范畴(即R—smod)及模糊半环上的模糊半模范畴(即FR^A-stood)的定义,然后通过反变函子s及共变函子t建立R—stood与FR^A-stood之间的关系,最后证明了FR^A-stood是一个半加法范畴.

关 键 词:FR^A-半模  FR^A-半模范畴  反变函子  共变函子  半加法范畴
文章编号:1004-7077(2008)02-0021-03
修稿时间:2007-12-21

On Category of Fuzzy Semimodules on an Fuzzy Semiring
CHEN Gui-ying. On Category of Fuzzy Semimodules on an Fuzzy Semiring[J]. Journal of Zaozhuang Teachers' College, 2008, 25(2): 21-23
Authors:CHEN Gui-ying
Affiliation:CHEN Gui - ying ( School of Mathematics and Science, Liao Cheng University, Liaocheng 252059)
Abstract:The concepts of R - smod and FR^A - smod were introduced and the relation between R - smod and FR^A - smod was discussed by a contravariant functor S and a covariant functor t. Finally, it was proved that FR^A - smod was an semiadditive category.
Keywords:FR^A - semimodules  FR^A - semimodule category  contravariant functor  covariant functor  semiadditive category
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