Geodesic
A Classification of 2-Varieties
Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 348-364

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to give a classification of those varieties of power-associative algebras over a field F which satisfy the condition(1.1) For each A in and each ideal I of A, I2 is an ideal of A. 
Anderson, Tim; Kleinfeld, Erwin. A Classification of 2-Varieties. Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 348-364. doi: 10.4153/CJM-1976-037-2
@article{10_4153_CJM_1976_037_2,
     author = {Anderson, Tim and Kleinfeld, Erwin},
     title = {A {Classification} of {2-Varieties}},
     journal = {Canadian journal of mathematics},
     pages = {348--364},
     year = {1976},
     volume = {28},
     number = {2},
     doi = {10.4153/CJM-1976-037-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-037-2/}
}
TY  - JOUR
AU  - Anderson, Tim
AU  - Kleinfeld, Erwin
TI  - A Classification of 2-Varieties
JO  - Canadian journal of mathematics
PY  - 1976
SP  - 348
EP  - 364
VL  - 28
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-037-2/
DO  - 10.4153/CJM-1976-037-2
ID  - 10_4153_CJM_1976_037_2
ER  - 
%0 Journal Article
%A Anderson, Tim
%A Kleinfeld, Erwin
%T A Classification of 2-Varieties
%J Canadian journal of mathematics
%D 1976
%P 348-364
%V 28
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-037-2/
%R 10.4153/CJM-1976-037-2
%F 10_4153_CJM_1976_037_2

[1] 1. Albert, A. A., Almost alternative algebras, Port. Math. 8 (1949), 23–36. Google Scholar

[2] 2. Albert, A. A., Power-associative rings, Trans. Amer. Math. Soc. 64 (1948), 552–593. Google Scholar

[3] 3. Anderson, T., The Levitzki radical in varieties of algebras, Math. Ann. 194 (1971), 27–34. Google Scholar

[4] 4. Anderson, T., On the Levitzki radical, Can. Math. Bull. 17 (1974), 5–10. Google Scholar

[5] 5. Divinsky, N., Rings and radicals (University of Toronto Press, 1965). Google Scholar

[6] 6. Hentzel, I. R., Nil semi-simple (-1 , 1) rings, J. Algebra 22 (1972), 442–450. Google Scholar

[7] 7. Hentzel, I. R., (-1, 1) algebras, Proc. Amer. Math. Soc. 24 (1970), 24–28. Google Scholar

[8] 8. Hentzel, I. R., (-1, 1) rings, Proc. Amer. Math. Soc. 22 (1969), 367–374. Google Scholar

[9] 9. Kleinfeld, E., Simple rings of type (1,1) are associative, Can. J. Math. 13 (1961), 129–148. Google Scholar

[10] 10. Kleinfeld, E., Rings of (T, S) type, Port Math. 18 (1959), 107–110. Google Scholar

[11] 11. Kleinfeld, E., Associator dependent rings, Arch. Math. 13 (1962), 203–212. Google Scholar

[12] 12. Kleinfeld, E., Rosier, F., J. Osborne, M. and Rodabaugh, D., The structure of associator dependent rings, Trans. Amer. Math. Soc. 110 (1964), 473–483. Google Scholar

[13] 13. Kokoris, L., On rings of (T, h)-type, Proc. Amer. Math. Soc. 9 (1958), 897–904. Google Scholar

[14] 14. Maneri, C., Simple ( — 1, 1) rings with idempotent, Proc. Amer. Math. Soc. 14 (1963), 110–117. Google Scholar

[15] 15. Osborne, J. M., Varieties of algebras, Advances in Math. 8 (1972), 163–369. Google Scholar

[16] 16. Schafer, R. D., An introduction to nonas so dative algebras (Academic Press, New York, 1966). Google Scholar

[17] 17. Zwier, P., Prime ideals in a large class of nonas so dative rings, Trans. Amer. Math. Soc. 188 (1971), 257–271. Google Scholar

Cité par Sources :