半环的L-模糊理想的范畴性质

首先给出了半环的L-模糊理想同态的定义,在此基础上较系统地讨论了半环的L-模糊理想范畴的性质,证明了此范畴是半环范畴上的一个拓扑结构,并探讨了其中的等子、拉回和乘积等性质.另一方面,给出了半环的L-模糊理想范畴的逆系统的定义,建立了半环的L-模糊理想范畴中逆系统的逆极限结构.特别是在引入两个逆系统之间映射的基础上,得到了两个逆系统的逆极限之间的极限映射.

The categorical properties of L-fuzzy ideals of semirings

The concept of L-fuzzy ideals of semirings is first introduced in this paper.Based on this new concept,some properties of the category of L-fuzzy ideal of semirings are investigated,the result that the category of L-fuzzy ideals of semirings is a topological construct on the category of semirings is also proved.Meanwhile,the equalizer,pullback and product are all discussed.On the other hand,the notion of inverse systems of category of L-fuzzy ideals of semirings is proposed and the inverse limit of the category of L-fuzzy ideals of semirings is constructed.Particularly,the limit mapping has been obtained by means of presenting the mapping between two inverse systems.