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Abstract: Extending Furstenberg's ergodic theoretic proof for Szemer\'edi's theorem on arithmetic progressions, Furstenberg and Weiss (2003) proved the following qualitative result. For every d and k,...
Some remarks on structural matrix rings and matrices with ideal entries
structural matrix ring incidence algebra pre-order quasiorder
2011/1/19
Associating to each pre-order on the indices 1, ..., n the corresponding structural matrix ring, or incidence algebra, embeds the lattice of n-element pre-orders into the lattice of n × n matrix rings...