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Matematicheskie Zametki, 2007, Volume 82, Issue 6, Pages 838–849
DOI: https://doi.org/10.4213/mzm4184 (Mi mzm4184) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Affine Geometry of Modules over a Ring with Invariant Basis Number

A. A. Lashkhi, T. G. Kvirikashvili

Georgian Technical University
Full-text PDF (440 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm4184
Abstract: The fundamental theorem of affine geometry over rings with invariant basis numbers is considered.
Keywords: fundamental theorem of affine geometry, invariant basis number, module over an IB-ring, projective geometry, complete lattice, collineation.
Received: 16.02.2005
English version:
Mathematical Notes, 2007, Volume 82, Issue 6, Pages 756–765
DOI: https://doi.org/10.1134/S000143460711020X
Bibliographic databases:
UDC: 514.14
Language: Russian
Citation: A. A. Lashkhi, T. G. Kvirikashvili, “Affine Geometry of Modules over a Ring with Invariant Basis Number”, Mat. Zametki, 82:6 (2007), 838–849; Math. Notes, 82:6 (2007), 756–765
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    1. U. Brehm, “Algebraic Representation of Mappings Between Submodule Lattices”, Journal of Mathematical Sciences, 193:3 (2013), 388–393  mathnet  mathnet  crossref
    2. A. Lashkhi, “Fundamental Theorem of Affine Geometry for Lie Algebras”, Journal of Mathematical Sciences, 191:6 (2013), 768–775  mathnet  mathnet  crossref
    3. P. Gurtskaia, A. Lashkhi, “Chain Conditions in D-Semimodular Lattices”, Journal of Mathematical Sciences, 197:6 (2014), 770–781  mathnet  mathnet  crossref
    4. T. Kvirikashvili, A. Lashkhi, “Geometrical maps in ring affine geometries”, Journal of Mathematical Sciences, 186:5 (2012), 759–765  mathnet  mathnet  crossref
    5. M. G. Amaglobeli, “Power groups”, Journal of Mathematical Sciences, 186:6 (2012), 811–865  mathnet  mathnet  crossref
    6. H. Havlicek, “Divisible designs, Laguerre geometry, and beyond”, Journal of Mathematical Sciences, 186:6 (2012), 882–926  mathnet  mathnet  crossref
    7. M. G. Amaglobeli, “Free products in the category of A-groups over a ring A”, Journal of Mathematical Sciences, 186:5 (2012), 687–693  mathnet  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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