A note on $n$-Jordan homomorphisms
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908978326274048 |
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| author | Azhari, M. El |
| author_facet | Azhari, M. El |
| contents | By using a variation of a theorem on $n$-Jordan homomorphisms due to Herstein, we deduce the following G. An's result: Let $ A $ and $ B $ be two rings where $ A $ has a unit and $ char(B)> n. $ If every Jordan homomorphism from $ A $ into $ B $ is a homomorphism (anti-homomorphism), then every $n$-Jordan homomorphism from $ A $ into $ B $ is an $n$-homomorphism (anti-$n$-homomorphism). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_17544 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on $n$-Jordan homomorphisms Azhari, M. El Rings and Algebras Functional Analysis 16-XX By using a variation of a theorem on $n$-Jordan homomorphisms due to Herstein, we deduce the following G. An's result: Let $ A $ and $ B $ be two rings where $ A $ has a unit and $ char(B)> n. $ If every Jordan homomorphism from $ A $ into $ B $ is a homomorphism (anti-homomorphism), then every $n$-Jordan homomorphism from $ A $ into $ B $ is an $n$-homomorphism (anti-$n$-homomorphism). |
| title | A note on $n$-Jordan homomorphisms |
| topic | Rings and Algebras Functional Analysis 16-XX |
| url | https://arxiv.org/abs/2604.17544 |