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2013•Journal of linear and topological algebraRequires access

Generalized notion of character amenability

Abasalt Bodaghi, Fatemeh Anousheh, Sina Etemad

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Abstract

This paper continues the investigation of the rst author begun in part one. The hereditary properties of n-homomorphism amenability for Banach algebras are investigated and the relations between n-homomorphism amenability of a Banach algebra and its ide- als are found. Analogous to the character amenability, it is shown that the tensor product of two unital Banach algebras is n-homomorphism amenable if and only if each one is n- homomorphism amenable.

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What this paper is about

This paper continues the investigation of the rst author begun in part one. The hereditary properties of n-homomorphism amenability for Banach algebras are investigated and the relations between n-homomorphism amenability of a Banach algebra and its ide- als are found. Analogous to the character amenability, it is shown that the tensor product of two unital Banach algebras is n-homomorphism amenable if and only if each one is n- homomorphism amenable.

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Available abstract

This paper continues the investigation of the rst author begun in part one. The hereditary properties of n-homomorphism amenability for Banach algebras are investigated and the relations between n-homomorphism amenability of a Banach algebra and its ide- als are found. Analogous to the character amenability, it is shown that the tensor product of two unital Banach algebras is n-homomorphism amenable if and only if each one is n- homomorphism amenable.

Key concepts: Homomorphism, Mathematics, Character (mathematics), Algebra homomorphism, Tensor product, Banach algebra, Pure mathematics, Unital

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