Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 177, Pages 34–38
DOI: https://doi.org/10.36535/0233-6723-2020-177-34-38 (Mi into596) 		 
Projective geometries over lattices and their morphisms

T. Bokelavadzea, T. G. Kvirikashvilib

a Akaki Tsereteli State University, Kutaisi
b Georgian Technical University
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DOI: https://doi.org/10.36535/0233-6723-2020-177-34-38
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.
Document Type: Article
UDC: 512.552, 514.16
MSC: 51C05, 51A10, 16D40
Language: Russian
Citation: T. Bokelavadze, T. G. Kvirikashvili, “Projective geometries over lattices and their morphisms”, Algebra, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 177, VINITI, Moscow, 2020, 34–38
Citation in format AMSBIB
\Bibitem{BokKvi20}
\by T.~Bokelavadze, T.~G.~Kvirikashvili
\paper Projective geometries over lattices and their morphisms
\inbook Algebra
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 177
\pages 34--38
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into596}
\crossref{https://doi.org/10.36535/0233-6723-2020-177-34-38}
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