Geodesic
Equationally noetherian algebras and chain conditions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 521-526

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

In this article, we describe the relation between the properties of being equational noetherian and ascending chain condition on ideals of an arbitrary algebra. We also give a formulation of Hilbert's basis theorem for varieties of algebras and obtain a criterion to investigate it for a given variety.
Keywords: algebraic set, radical ideal, coordinate algebra, Zariski topology, noetherain algebra, equationally noetherian algebra, pre-variety, variety, free product, Hilbert's basis theorem.
Mots-clés : algebraic structures, equations, $\max$-$n$ group 
@article{JSFU_2013_6_4_a12,
     author = {Mohammad Shahryari},
     title = {Equationally noetherian algebras and chain conditions},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {521--526},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a12/}
}
TY  - JOUR
AU  - Mohammad Shahryari
TI  - Equationally noetherian algebras and chain conditions
JO  - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
PY  - 2013
SP  - 521
EP  - 526
VL  - 6
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a12/
LA  - en
ID  - JSFU_2013_6_4_a12
ER  - 
%0 Journal Article
%A Mohammad Shahryari
%T Equationally noetherian algebras and chain conditions
%J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika
%D 2013
%P 521-526
%V 6
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a12/
%G en
%F JSFU_2013_6_4_a12
Mohammad Shahryari. Equationally noetherian algebras and chain conditions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 4, pp. 521-526. http://geodesic.mathdoc.fr/item/JSFU_2013_6_4_a12/