6 papers
Some remarks on lattices of equivalences
Christian Herrmann
We review principal results on axiomatizability of classes of lattices of equivalences
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…
Direct finiteness of representable regular rings with involution: A counterexample
Christian Herrmann
Bruns and Roddy constructed a -generated modular ortholattice which cannot be embedded into any complete modular ortholattice. Motivated by their approach, we use shift oper…
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…
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…
Unit-regularity and representability for semiartinian *-regular rings
Christian Herrmann
We show that any semiartinian subdirectly irreducible *-regular ring R admits a representation within some inner product space.