Conference publications

Matroid lattice of A-system subalgebras

Graev M. I., Koganov A. V.

Russia, Moscow

"Математика. Компьютер. Образование". Cб. трудов XII международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2005. Vol. 2, 466pp. Pp. 773-785.

Characteristic property of subspace system in linear spaces is matroid (in other terminology semimodularity and atomicity) lattice, formed by them, on partial order of an enclosing. The method of construction of system subalgebras in any algebra of a universal type, with this property is offered. In that specific case of linear or affine space there is a usual subspace lattice. Thus, this design generalizes concept subspace in linear algebra and projective geometry.

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