Geodesic
A Kleinecke–Shirokov type condition with Jordan automorphisms
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
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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