Abstract
Let A and B be topological algebras equipped with separating sequences of submultiplicative seminorms. For \(n\in \mathbb {N}\), \(n\ge 2\), we investigate under what conditions an almost n-Jordan homomorphism \(T:A\rightarrow B\) is an almost n-homomorphism. We also study the automatic continuity of almost n-Jordan homomorphisms and almost n-homomorphisms. Finally, we present some results concerning additive n-Jordan homomorphisms on rings.
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Honary, T.G., Hosseinzadeh, H. Relations Between Almost n-Jordan Homomorphisms and Almost n-Homomorphisms. Iran J Sci Technol Trans Sci 46, 1641–1649 (2022). https://doi.org/10.1007/s40995-022-01367-6
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DOI: https://doi.org/10.1007/s40995-022-01367-6
Keywords
- n-Jordan homomorphism
- n-homomorphism
- Almost n-Jordan homomorphism
- Almost n-homomorphism
- Submultiplicative seminorm
- Automatic continuity