A Kleinecke-Shirokov type condition with Jordan automorphisms

Matej Brešar; Ajda Fošner; Maja Fošner

Studia Mathematica (2001)

  • Volume: 147, Issue: 3, page 237-242
  • ISSN: 0039-3223

Abstract

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Let φ be a Jordan automorphism of an algebra . The situation when an element a ∈ satisfies 1 / 2 ( φ ( a ) + φ - 1 ( a ) ) = a is considered. The result which we obtain implies the Kleinecke-Shirokov theorem and Jacobson’s lemma.

How to cite

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Matej Brešar, Ajda Fošner, and Maja Fošner. "A Kleinecke-Shirokov type condition with Jordan automorphisms." Studia Mathematica 147.3 (2001): 237-242. <http://eudml.org/doc/285153>.

@article{MatejBrešar2001,
abstract = {Let φ be a Jordan automorphism of an algebra . The situation when an element a ∈ satisfies $1/2(φ(a) + φ^\{-1\}(a)) = a$ is considered. The result which we obtain implies the Kleinecke-Shirokov theorem and Jacobson’s lemma.},
author = {Matej Brešar, Ajda Fošner, Maja Fošner},
journal = {Studia Mathematica},
language = {eng},
number = {3},
pages = {237-242},
title = {A Kleinecke-Shirokov type condition with Jordan automorphisms},
url = {http://eudml.org/doc/285153},
volume = {147},
year = {2001},
}

TY - JOUR
AU - Matej Brešar
AU - Ajda Fošner
AU - Maja Fošner
TI - A Kleinecke-Shirokov type condition with Jordan automorphisms
JO - Studia Mathematica
PY - 2001
VL - 147
IS - 3
SP - 237
EP - 242
AB - Let φ be a Jordan automorphism of an algebra . The situation when an element a ∈ satisfies $1/2(φ(a) + φ^{-1}(a)) = a$ is considered. The result which we obtain implies the Kleinecke-Shirokov theorem and Jacobson’s lemma.
LA - eng
UR - http://eudml.org/doc/285153
ER -

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