Geodesic
A Kleinecke–Shirokov type condition with Jordan automorphisms
Matej Brešar1 ; Ajda Fošner1 ; Maja Fošner2
1Department of Mathematics University of Maribor PF, Koroška 160 2000 Maribor, Slovenia
2Institute of Mathematics, Physics and Mechanics Jadranska 19 1000 Ljubljana, Slovenia
Studia Mathematica, Tome 147 (2001) no. 3, pp. 237-242
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $\varphi $ be a Jordan automorphism of an algebra ${\cal A}$. The situation when an element $a\in {\cal A}$ satisfies ${1\over 2}(\varphi (a) + \varphi ^{-1}(a)) = a$ is considered. The result which we obtain implies the Kleinecke–Shirokov theorem and Jacobson's lemma.
DOI : 10.4064/sm147-3-3
Keywords: varphi jordan automorphism algebra cal situation element cal satisfies varphi varphi considered result which obtain implies kleinecke shirokov theorem jacobsons lemma

Matej Brešar  1   ; Ajda Fošner  1   ; Maja Fošner  2

1 Department of Mathematics University of Maribor PF, Koroška 160 2000 Maribor, Slovenia
2 Institute of Mathematics, Physics and Mechanics Jadranska 19 1000 Ljubljana, Slovenia 
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     title = {A {Kleinecke{\textendash}Shirokov} type condition {with
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     journal = {Studia Mathematica},
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Matej Brešar; Ajda Fošner; Maja Fošner. A Kleinecke–Shirokov type condition with
Jordan automorphisms. Studia Mathematica, Tome 147 (2001) no. 3, pp. 237-242. doi: 10.4064/sm147-3-3

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