Journal of Siberian Federal University. Mathematics & Physics / Decomposition of Transvection in Elementary Group

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2012 5 (3)
Authors
Koibaev, Vladimir A.
Contact information
Koibaev, Vladimir A. : e-mail:
Keywords
net; carpet; elementary nets; net group; carpet group; elementary group; transvection
Abstract

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(!).

Pages
388-392
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2928