TY - JOUR A1 - Jureit, Jan-Hendrik A1 - Stephan, Christoph A. T1 - On a classification of irreducible almost-commutative geometries V N2 - We extend a classification of irreducible almost-commutative geometries, whose spectral action is dynamically nondegenerate, to internal algebras that have six simple summands. We find essentially four particle models: an extension of the standard model by a new species of fermions with vectorlike coupling to the gauge group and gauge invariant masses, two versions of the electrostrong model, and a variety of the electrostrong model with Higgs mechanism. Y1 - 2009 UR - http://jmp.aip.org/ U6 - https://doi.org/10.1063/1.3167287 SN - 0022-2488 ER -