半环同态在一些软代数上的作用

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英文篇名：Effets of Semirings Homomorphisms on Some Soft Algebras of Semirings 作者：邵海琴 ; 党红刚 英文作者：Shao Haiqin;Dang Honggang;School of Mathematics and Statistics, Tianshui Normal University; 关键词：半环 ; 软半环 ; 软子半环 ; 软理想 ; 软相等 ; 半环同态 英文关键词：semirings;;soft semirings;;soft subsemirings;;soft ideals;;soft equal;;semirings homomorphism 中文刊名：NXDZ 英文刊名：Journal of Ningxia University(Natural Science Edition) 机构：天水师范学院数学与统计学院; 出版日期：2018-11-05 15:17 出版单位：宁夏大学学报(自然科学版) 年：2019 期：v.40;No.161 基金：甘肃省教育厅科研基金资助项目(2015A-129) 语种：中文; 页：NXDZ201901003 页数：7 CN：01 ISSN：64-1006/N 分类号：19-25

摘要

主要利用软集理论对半环同态进行刻画.首先,讨论了半环满同态在半环上的软半环、软子半环、软理想上的作用,得到了半环满同态是保软半环、保软子半环和保软理想的重要性质,并给出了一些具体例子.其次,讨论了半环同态在半环上的2个软半环的运算上的作用,得到了一些重要结论.
        The main aim of this paper is depict for semirings homomorphisms by soft set theory. Firstly, the effets of semirings homomorphisms on soft semirings, soft subsemirings and soft ideals over a semiring are discussed, some important properties that semirings homomorphisms is soft semirings-preserving, soft subsemirings-preserving, soft ideals-preserving are obtained, and some concrete examples are given. Secondly, the effets of semirings homomorphisms on operations of two soft semirings are discussed, some important conclusions are obtained.

引文

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