S-Poset内射包的一个注记  

A Note on Injective Hulls of S-Poset

作　　者：李玉林 

机构地区：[1]长安大学理学院,陕西 西安

出　　处：《理论数学》2021年第1期47-52,共6页Pure Mathematics

摘　　要：设S是一个序半群,本文采用序代数理论和quantale理论中的研究方法,在以S-poset为对象以S-次可乘映射为态射的范畴中,对于一类特殊的态射ε≤,构造了S-poset的内射包。本文的结果不仅推广了基于S是序幺半群时的相应结果,而且也得到了剩余S-poset的内射包。Let S be a posemigroup. Inspired by the study method of order algebra theory and quantale theory, we construct an -injective hull for an arbitrary S-poset in the category of S-poset with S-submultiplicative morphisms with respect to a specific class of morphisms ε≤. The results of the present paper not only generalize the corresponding results based on S be a pomonoid but also lead to injective hull for residuated S-poset.

关 键 词：序半群 S-POSET 内射包 

分 类 号：O15[理学—数学]