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Fundam. Prikl. Mat., 2005, Volume 11, Issue 3, Pages 127–137 (Mi fpm836)  

Ring geometries and their lattices

A. A. Lashkhi

Georgian Technical University

Abstract: 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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English version:
Journal of Mathematical Sciences (New York), 2007, 144:2, 3960–3967

Bibliographic databases:

UDC: 512.552

Citation: A. A. Lashkhi, “Ring geometries and their lattices”, Fundam. Prikl. Mat., 11:3 (2005), 127–137; J. Math. Sci., 144:2 (2007), 3960–3967

Citation in format AMSBIB
\Bibitem{Las05}
\by A.~A.~Lashkhi
\paper Ring geometries and their lattices
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 3
\pages 127--137
\mathnet{http://mi.mathnet.ru/fpm836}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2176684}
\zmath{https://zbmath.org/?q=an:1110.05019}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 144
\issue 2
\pages 3960--3967
\crossref{https://doi.org/10.1007/s10958-007-0249-4}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34250222034}


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  • Фундаментальная и прикладная математика
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