Imbedding Jordan systems in primitive systems

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• 作者：José ; A. Anquela^a ; ¹ ; ^{anque@orion.ciencias.uniovi.es" class="auth_mail" title="E-mail the corresponding author} ; Teresa Corté ; s^a ; ¹ ; ^{cortes@orion.ciencias.uniovi.es" class="auth_mail" title="E-mail the corresponding author} ; Kevin McCrimmon^b ; ^{kmm4m@virginia.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：17C10 ; 17C20 ; 17C40
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 March 2016
• 年：2016
• 卷：449
• 期：Complete
• 页码：175-183
• 全文大小：283 K

文摘

We show that special Jordan systems J   which are free of torsion over a scalar ring imbed in primitive (hence strongly prime) Jordan systems $\tilde{J}=J\oplus \mathrm{Heart}(\tilde{J})$ with simple primitive heart. We show examples of exceptional Jordan systems which cannot be imbedded in a nondegenerate system.