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