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

Authors

  • Chong Shen School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China
  • Fu-Gui Shi School of Mathematics and statistics, Beijing Institute of Technology, Beijing 100081, P.R. China
Abstract:

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.

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Journal title

volume 15  issue 2

pages  23- 40

publication date 2018-04-29

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