Abstract
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.
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 language | Undefined/Unknown |
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Pages (from-to) | 73-83 |
Number of pages | 11 |
Journal | Journal of Geometry |
Volume | 50 |
Issue number | 1-2 |
DOIs | |
Publication status | Published - 1994 |
MoE publication type | A1 Journal article-refereed |