L-CONVEX SYSTEMS AND THE CATEGORICAL ISOMORPHISM TO SCOTT-HULL OPERATORS

نویسندگان
Shi, Fu-Gui ID 1
Shen, Chong ID 2

1 School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China

2 School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China

doi
10.22111/ijfs.2018.3754
چکیده

The concepts of $L$-convex systems and Scott-hull spaces are proposed on frame-valued setting. Also, we establish the categorical isomorphism between  $L$-convex systems and Scott-hull spaces. Moreover, it is proved that the category of $L$-convex structures is  bireflective in the category of $L$-convex systems. Furthermore, the quotient systems of $L$-convex systems are studied.

کلیدواژه‌ها
$L$-convex system, Scott-hull space, Induced $L$-convex structure, Quotient system