Geodesic
Orthogonal decompositions of associative algebras, and balanced systems of idempotents
Sbornik. Mathematics, Tome 189 (1998) no. 12, pp. 1819-1838 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The divisibility conjecture for commutative orthogonal decompositions is proved. In addition, Hadamard decompositions and balanced systems of idem-potents are studied. 
@article{SM_1998_189_12_a5,
     author = {D. N. Ivanov},
     title = {Orthogonal decompositions of associative algebras, and balanced systems of idempotents},
     journal = {Sbornik. Mathematics},
     pages = {1819--1838},
     year = {1998},
     volume = {189},
     number = {12},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_12_a5/}
}
TY  - JOUR
AU  - D. N. Ivanov
TI  - Orthogonal decompositions of associative algebras, and balanced systems of idempotents
JO  - Sbornik. Mathematics
PY  - 1998
SP  - 1819
EP  - 1838
VL  - 189
IS  - 12
UR  - http://geodesic.mathdoc.fr/item/SM_1998_189_12_a5/
LA  - en
ID  - SM_1998_189_12_a5
ER  - 
%0 Journal Article
%A D. N. Ivanov
%T Orthogonal decompositions of associative algebras, and balanced systems of idempotents
%J Sbornik. Mathematics
%D 1998
%P 1819-1838
%V 189
%N 12
%U http://geodesic.mathdoc.fr/item/SM_1998_189_12_a5/
%G en
%F SM_1998_189_12_a5
D. N. Ivanov. Orthogonal decompositions of associative algebras, and balanced systems of idempotents. Sbornik. Mathematics, Tome 189 (1998) no. 12, pp. 1819-1838. http://geodesic.mathdoc.fr/item/SM_1998_189_12_a5/

[1] Ivanov D. N., “Ortogonalnye razlozheniya poluprostykh assotsiativnykh algebr”, Vestn. MGU. Ser. 1. Matem., mekh., 1988, no. 1, 9–14 | MR

[2] Ivanov D. N., “Teorema o podalgebrakh, obrazuyuschikh ortogonalnoe razlozhenie assotsiativnoi algebry”, UMN, 44:2 (1989), 231–232 | MR

[3] Ivanov D. N., “Odnorodnye ortogonalnye razlozheniya kommutativnykh algebr i matritsy Adamara”, Fundament. i prikl. matem., 1:4 (1995), 1107–1110 | MR | Zbl

[4] Kholl M., Kombinatorika, Mir, M., 1970 | MR

[5] Kostrikin A. I., Kostrikin I. A., Ufnarovskii V. A., “Ortogonalnye razlozheniya prostykh algebr Li (tip $A_n$)”, Tr. MIAN, 158, Nauka, M., 1981, 105–120 | MR | Zbl

[6] Kharari F., Teoriya grafov, Mir, M., 1973 | MR

[7] Kostrikin A. I., Pham Huu Tiep, Orthogonal decompositions and integral lattices, Walter de Gruyter, Berlin, 1994 | MR

[8] Kameron P., van Lint Dzh., Teoriya grafov, teoriya kodirovaniya i blok-skhemy, Nauka, M., 1980 | MR