The Jordan homomorphisms of JC-algebra Tensor Product

مؤسسة الشرق الأوسط للنشر العلمي

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الإصدار الثالث عشر: 15 يونيو 2023
من مجلة العلوم الإنسانية العربية

The Jordan homomorphisms of JC-algebra Tensor Product

Fadwa Muhammad Algamdei
Abstract

An algebra homomorphism is a map that preserves the algebra operations. In this study, we consider the finite and infinite tensor products of JC-algebras. The main results as follows: we show how Jordan homomorphisms of the component JC-algebras can be combined to form Jordan homomorphisms of the JC-algebra tensor product. Also, we explain that the relation between the ( C*-algebra ) homomorphisms of C*-algebra tensor product and Jordan homomorphisms of JC-algebra tensor product by using universal enveloping C*-algebra.

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