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Fundamentalnaya i Prikladnaya Matematika, 2003, Volume 9, Issue 3, Pages 213–228 (Mi fpm732)  
Automated proving and analysis of geometric theorems in coordinate-free form by using the anticommutative Gröbner basis method

I. Yu. Tchoupaeva

M. V. Lomonosov Moscow State University
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Abstract: Some geometric theorems can be stated in coordinate-free form as polynomials in Grassman algebra and can be proven by the anticommutative Gröbner basis method. In this article, we analyze some properties of both sets of hypotheses and conclusions of the theorem.
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 135, Issue 5, Pages 3409–3419
DOI: https://doi.org/10.1007/s10958-006-0170-2
Bibliographic databases:
UDC: 512.64+512.715
Language: Russian
Citation: I. Yu. Tchoupaeva, “Automated proving and analysis of geometric theorems in coordinate-free form by using the anticommutative Gröbner basis method”, Fundam. Prikl. Mat., 9:3 (2003), 213–228; J. Math. Sci., 135:5 (2006), 3409–3419
Citation in format AMSBIB
\Bibitem{Tch03}
\by I.~Yu.~Tchoupaeva
\paper Automated proving and analysis of geometric theorems in coordinate-free form by using the anticommutative Gr\"obner basis method
\jour Fundam. Prikl. Mat.
\yr 2003
\vol 9
\issue 3
\pages 213--228
\mathnet{http://mi.mathnet.ru/fpm732}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2094340}
\zmath{https://zbmath.org/?q=an:1073.68098}
\transl
\jour J. Math. Sci.
\yr 2006
\vol 135
\issue 5
\pages 3409--3419
\crossref{https://doi.org/10.1007/s10958-006-0170-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33744732731}
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