Galois connections and residuation: origins and developments I

The Eighth International Conference on Concept Lattices and Their Applications

计算机科学

Bernard Monjardet

Others  :  http://ceur-ws.org/Vol-959/invited6.pdf
PID  :  29269

学科分类：计算机科学（综合）

来源: CEUR

【 摘 要 】

The equivalent notions of Galois connexions, and of residual and residuatedmaps occur in a great varieties of \pure" as well as \applied" mathematical theories. They explicitly appeared in the framework of lattice theory and the rst of these talks is devoted to the history of their appearance and of the revealing of their links in this framework. So this talk covers more or less the period between 1940 (with the notion of polarity dened in the rst edition of Birko's book Lattice theory) and 1972 (with Blyth and Janowitz's book Residuation theory), a period containing fundamental