Geodesic
Annihilators in infinite-dimensional Grassmann–Banach algebras
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 30-40 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A family of infinite-dimensional Grassmann–Banach algebras over a complete normalized field $K$ is considered. It is proved that any element $G$ of the family is an associative supercommutative Banach superalgebra over $K$, i. e. $G=G_0\oplus G_1$ with the zero annihilators $G_0^\perp=G_1^\perp=(G_1^{(k)})^\perp=\{0\}$, $k\geqslant2$. 
@article{TMF_1989_79_1_a2,
     author = {V. D. Ivashchuk},
     title = {Annihilators in~infinite-dimensional {Grassmann{\textendash}Banach} algebras},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {30--40},
     year = {1989},
     volume = {79},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a2/}
}
TY  - JOUR
AU  - V. D. Ivashchuk
TI  - Annihilators in infinite-dimensional Grassmann–Banach algebras
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1989
SP  - 30
EP  - 40
VL  - 79
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a2/
LA  - ru
ID  - TMF_1989_79_1_a2
ER  - 
%0 Journal Article
%A V. D. Ivashchuk
%T Annihilators in infinite-dimensional Grassmann–Banach algebras
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1989
%P 30-40
%V 79
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a2/
%G ru
%F TMF_1989_79_1_a2
V. D. Ivashchuk. Annihilators in infinite-dimensional Grassmann–Banach algebras. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 30-40. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a2/

[1] Volovich I. V., DAN SSSR, 269:3 (1983), 524–527 | MR | Zbl

[2] Vladimirov V. S., Volovich I. V., DAN SSSR, 273:1 (1983), 26–31 | MR | Zbl

[3] Vladimirov V. S., Volovich I. V., TMF, 59:1 (1984), 3–27 | MR | Zbl

[4] Vladimirov V. S., Volovich I. V., TMF, 60:2 (1984), 169–198 | MR | Zbl

[5] Rogers A., J. Math. Phys., 21:6 (1980), 1352–1365 | DOI | MR | Zbl

[6] Burbaki N., Obschaya topologiya, Nauka, M., 1975 | MR

[7] Borevich Z. I., Shafarevich I. R., Teoriya chisel, Nauka, Moskva, 1972 | MR

[8] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1981 | MR

[9] Kuratovskii K., Mostovskii A., Teoriya mnozhestv, Mir, M., 1970 | MR

[10] Burbaki N., Teoriya mnozhestv, Nauka, M., 1965 | MR