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math.RA2024
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…
math.RA2023
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.RA2019
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.