Geodesic
Additivity of Jordan elementary maps on standard rings
Algebra and discrete mathematics, Tome 18 (2014) no. 2, pp. 203-233.

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

We prove that Jordan elementary surjective maps on standard rings are additive.
Keywords: Jordan elementary maps, standard rings, additivity. 
@article{ADM_2014_18_2_a4,
     author = {Bruno Leonardo Macedo Ferreira and Henrique Guzzo Jr. and Jo\~ao Carlos da Motta Ferreira},
     title = {Additivity of {Jordan} elementary maps on standard rings},
     journal = {Algebra and discrete mathematics},
     pages = {203--233},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a4/}
}
TY  - JOUR
AU  - Bruno Leonardo Macedo Ferreira
AU  - Henrique Guzzo Jr.
AU  - João Carlos da Motta Ferreira
TI  - Additivity of Jordan elementary maps on standard rings
JO  - Algebra and discrete mathematics
PY  - 2014
SP  - 203
EP  - 233
VL  - 18
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a4/
LA  - en
ID  - ADM_2014_18_2_a4
ER  - 
%0 Journal Article
%A Bruno Leonardo Macedo Ferreira
%A Henrique Guzzo Jr.
%A João Carlos da Motta Ferreira
%T Additivity of Jordan elementary maps on standard rings
%J Algebra and discrete mathematics
%D 2014
%P 203-233
%V 18
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a4/
%G en
%F ADM_2014_18_2_a4
Bruno Leonardo Macedo Ferreira; Henrique Guzzo Jr.; João Carlos da Motta Ferreira. Additivity of Jordan elementary maps on standard rings. Algebra and discrete mathematics, Tome 18 (2014) no. 2, pp. 203-233. http://geodesic.mathdoc.fr/item/ADM_2014_18_2_a4/

[1] K. I. Beidar, A. V. Mikhalev and A. M. Slin'ko, “Criteria for primeness of nondegenerate alternative and Jordan algebras”, Tran. Moscow Math. Soc., 1988, 129–137 | MR | Zbl

[2] J. C. M. Ferreira and H. Guzzo Jr., Additivity of Jordan elementary maps on alternative rings. II, (Submitted for publishing)

[3] J. C. M. Ferreira and H. Guzzo Jr., “On the Generalized Standard Baric Algebras”, Algebras, Groups and Geometries, 27 (2010), 11–24 | MR

[4] P. Ji, “Additivity of Jordan maps on Jordan algebras”, Linear Algebra Appl., 431 (2009), 179–188 | DOI | MR | Zbl

[5] W. Jing, Additivity of Jordan Elementary Maps on Rings, arXiv: 0706.0488v2

[6] R. L. San Soucie, “Weakly standard rings”, Amer. J. Math., 79 (1957), 80–86 | DOI | MR | Zbl

[7] R. D. Schafer, “Standard algebras”, Pacific J. Math., 29 (1969), 203–223 | DOI | MR | Zbl