Geodesic
Ring geometries and their lattices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 127-137
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We construct a notion of a generalized geometrical lattice, allowing us to obtain an analog of matroid theory for the case of arbitrary principal ideal rings. 
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A. A. Lashkhi. Ring geometries and their lattices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 127-137. http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a8/

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