Geodesic
Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities
Algebra i logika, Tome 52 (2013) no. 4, pp. 435-460

Voir la notice de l'article provenant de la source Math-Net.Ru

Identities in vector spaces embedded in linear algebras are considered. Issues in finite basicity of identities for vector spaces, as well as for finitedimensional linear (nonassociative) algebras, are investigated. Essentially infinitely based and strongly infinitely based vector spaces and nonassociative linear algebras are exemplified.
Keywords: identity in algebra, identity in vector space, basis of identities, essentially infinite basicity, strongly infinite basicity. 
@article{AL_2013_52_4_a2,
     author = {I. M. Isaev and A. V. Kislitsin},
     title = {Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities},
     journal = {Algebra i logika},
     pages = {435--460},
     publisher = {mathdoc},
     volume = {52},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2013_52_4_a2/}
}
TY  - JOUR
AU  - I. M. Isaev
AU  - A. V. Kislitsin
TI  - Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities
JO  - Algebra i logika
PY  - 2013
SP  - 435
EP  - 460
VL  - 52
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2013_52_4_a2/
LA  - ru
ID  - AL_2013_52_4_a2
ER  - 
%0 Journal Article
%A I. M. Isaev
%A A. V. Kislitsin
%T Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities
%J Algebra i logika
%D 2013
%P 435-460
%V 52
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2013_52_4_a2/
%G ru
%F AL_2013_52_4_a2
I. M. Isaev; A. V. Kislitsin. Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities. Algebra i logika, Tome 52 (2013) no. 4, pp. 435-460. http://geodesic.mathdoc.fr/item/AL_2013_52_4_a2/