Разложение трансвекции в элементарной группе
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https://elib.sfu-kras.ru/handle/2311/2928Author:
Койбаев, Владимир А.
Koibaev, Vladimir A.
Date:
2012-07Abstract:
Рассматривается элементарная сеть (элементарный ковер) = (ij) порядка 3 аддитивных
подгрупп коммутативного кольца, связанная с ней производная сеть !, элементарная группа
E() и сетевая группа G(!). Получено разложение элементарной трансвекции tij(
) из E() в
произведение матрицы из группы htij(ij), tji(ji)i и матрицы из G(!). The elementary net (elementary carpet) = (ij) an order 3 of additive subgroups commutative ring is
considered, the derivative net ! connected with it, elementary group E() and net group G(!). It is proved
that a elementary transvection tij(
) from E() is a product of a matrix from group htij(ij), tji(ji)i
and matrixes from G(!).
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