Projective geometries over lattices and their morphisms
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 34-38.

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In this paper, we study ring projective geometries, their association with projective lattices, and morphisms between geometries and between lattices. Factor-geometries of projective geometries on the rings, morphisms between them, and their main properties are also studied.
Keywords: projective geometry, ring, projective lattice
Mots-clés : morphism.
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T. Bokelavadze; T. G. Kvirikashvili. Projective geometries over lattices and their morphisms. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, Tome 177 (2020), pp. 34-38. http://geodesic.mathdoc.fr/item/INTO_2020_177_a3/

[1] Faure C. A., Frölicher A., “Morphisms of projective geometries and of corresponding lattices”, Geom. Dedicata., 47:1 (1993), 25–40 | DOI | MR | Zbl

[2] Faure C. A., Frölicher A., “Morphisms of projective geometries and semilinear maps”, Geom. Dedicata., 53:3 (1994), 237–262 | DOI | MR | Zbl

[3] Lashkhi A. A., “General geometric lattices and projective geometry of modules. Geometry, 1”, J. Math. Sci., 74:3 (1995), 1044–1077 | DOI | MR | Zbl

[4] Buekenhout F., Handbook of Incidence Geometry. Buildings and Foundations, North-Holland, Amsterdam, 1995 | MR | Zbl