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Join-completions of partially ordered algebras
Annals of Pure and Applied Logic ( IF 0.8 ) Pub Date : 2020-05-23 , DOI: 10.1016/j.apal.2020.102842
José Gil-Férez , Luca Spada , Constantine Tsinakis , Hongjun Zhou

We present a systematic study of join-extensions and join-completions of partially ordered algebras, which naturally leads to a refined and simplified treatment of fundamental results and constructions in the theory of ordered structures ranging from properties of the Dedekind–MacNeille completion to the proof of the finite embeddability property for a number of varieties of lattice-ordered algebras.



中文翻译:

部分有序代数的连接完成

我们对部分有序代数的连接扩展和连接完成进行了系统的研究,这自然导致对基本结果和有序结构理论中的基本结果和结构进行精细化和简化的处理,从Dedekind–MacNeille完备的性质到证明对许多有序有序代数的有限嵌入性

更新日期:2020-05-23
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