4 papers
math.LO2025
Some remarks on lattices of equivalences
Christian Herrmann
We review principal results on axiomatizability of classes of lattices of equivalences
math.LO2025
On the equational theory of finite modular lattices
Christian Herrmann
It is shown that there is such that there is no algorithm to decide for identities in at most variables validity in the class of finite modular lattices. This is based on S…
math.RA2025
Perspectivity in complemented modular lattices and regular rings
Christian Herrmann
Based on an analogue for systems of partial isomorphisms between lower sections in a complemented modular lattice we prove that principal right ideals in a (von Neuma…
math.CO2024
S-Glued sums of lattices
Christian Herrmann, Dale R. Worley
For many equation-theoretical questions about modular lattices, Hall and Dilworth give a useful construction: Let be a lattice with largest element , be a lattice…