# Andreja Tepavčević: Partial closure operators and systems and applications to various classes of partial ordered sets

Date of publication: 23. 9. 2018

Discrete mathematics seminar

Torek, 25. 9. 2018, ob 10.45, Plemljev seminar, Jadranska 19

**Pozor, začnemo nekoliko kasneje, ob 10.45. **

**Povzetek. **
A connection among complete lattices, closure operators and closure
systems is generalized to partially ordered sets, and a notion of a
partial closure operator is introduced in several ways and connected
to partial closure systems and posets. Analogous connections are
proved in cases of complete posets (CPOs) and algebraic posets.
These relationships are used to extend the notions of geometric
lattices, semimodularity and matroids in the framework of finite
posets and related systems of sets.

Joint work with Branimir Seselja and Anna Slivkova