Publications in Scientific Journals:
M. Behrisch:
"Galois theory for semiclones";
Algebra Universalis,
76
(2016),
3;
385
- 413.
English abstract:
We present a Galois theory connecting finitary operations with pairs of finitary relations, one of which is contained in the other. The Galois closed sets on both sides are characterised as locally closed subuniverses of the full iterative function algebra (semiclones) and relation pair clones, respectively. Moreover, we describe the modified closure operators if only functions and relation pairs of a certain bounded arity, respectively, are considered.
Keywords:
iterative algebrasemiclonerelation pair cloneGalois theory
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1007/s00012-016-0407-y
Created from the Publication Database of the Vienna University of Technology.