Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 215-221
Citer cet article
A. V. Yakovlev. On canonical bases of spaces with a well ordered basis and a distinguished family of subspaces. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 23, Tome 400 (2012), pp. 215-221. http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a11/
@article{ZNSL_2012_400_a11,
author = {A. V. Yakovlev},
title = {On canonical bases of spaces with a~well ordered basis and a~distinguished family of subspaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {215--221},
year = {2012},
volume = {400},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a11/}
}
TY - JOUR
AU - A. V. Yakovlev
TI - On canonical bases of spaces with a well ordered basis and a distinguished family of subspaces
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2012
SP - 215
EP - 221
VL - 400
UR - http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a11/
LA - ru
ID - ZNSL_2012_400_a11
ER -
%0 Journal Article
%A A. V. Yakovlev
%T On canonical bases of spaces with a well ordered basis and a distinguished family of subspaces
%J Zapiski Nauchnykh Seminarov POMI
%D 2012
%P 215-221
%V 400
%U http://geodesic.mathdoc.fr/item/ZNSL_2012_400_a11/
%G ru
%F ZNSL_2012_400_a11
Let $V$ be a vector space with a well ordered basis and $\mathfrak I$ a family of subspaces of $V$ closed under intersections. An analogue of Groebner basis is defined for subspaces from $\mathfrak I$. It is shown that in Noetherian case such basis always exists and is unique.
