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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2020 Volume 177, Pages 34–38 (Mi into596)

Projective geometries over lattices and their morphisms

T. Bokelavadzea, T. G. Kvirikashvilib

a Akaki Tsereteli State University, Kutaisi
b Georgian Technical University

Abstract: 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, morphism.

UDC: 512.552, 514.16

MSC: 51C05, 51A10, 16D40

DOI: 10.36535/0233-6723-2020-177-34-38



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