半环同态在一些软代数上的作用  

Effets of Semirings Homomorphisms on Some Soft Algebras of Semirings

作　　者：邵海琴[1] 党红刚[1] Shao Haiqin;Dang Honggang(School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China)

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《宁夏大学学报（自然科学版）》2019年第1期13-19,共7页Journal of Ningxia University(Natural Science Edition)

基　　金：甘肃省教育厅科研基金资助项目(2015A-129)

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.

关 键 词：半环 软半环 软子半环 软理想 软相等 半环同态 

分 类 号：O152.7[理学—数学]