2008Electronic Journal of Linear AlgebraOpen access

Additivity of maps on triangular algebras

Xuehan Cheng, Wu Jing

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Abstract

In this paper, it is proven that every multiplicative bijective map, Jordan bijectivemap, Jordan triple bijective map, and elementary surjective map on triangular algebras is automatically additive.

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In this paper, it is proven that every multiplicative bijective map, Jordan bijectivemap, Jordan triple bijective map, and elementary surjective map on triangular algebras is automatically additive.

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OpenAlex reports 8 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, it is proven that every multiplicative bijective map, Jordan bijectivemap, Jordan triple bijective map, and elementary surjective map on triangular algebras is automatically additive.

Key concepts: Bijection, Surjective function, Multiplicative function, Mathematics, Additive function, Pure mathematics, Triangular matrix, Combinatorics

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