On point-irreducible projective lattice geometries

Marcus Greferath, Stefan E. Schmidt

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Within the conceptual frame of projective lattice geometry (as introduced in [5]) we are considering the class of all point-irreducible geometries. In the algebraic context these geometries are closely connected with unitary modules over local rings. Besides several synthetic investigations we obtain a lattice-geometric characterization of free left modules over right chain rings which allows a purely lattice-theoretic version in the Artinian case.

This paper results from a joint work of the authors at the Hungarian Academy of Sciences (Budapest) in the fall of 1991, supported by the DAAD.
Original languageUndefined/Unknown
Pages (from-to)73-83
Number of pages11
JournalJournal of Geometry
Issue number1-2
Publication statusPublished - 1994
MoE publication typeA1 Journal article-refereed

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