On the additivity of n-multiplicative isomorphisms, derivations, and related maps in axial algebras
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866910897284317184 |
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| author | Kawai, Daniel Eiti Nishida Guzzo Jr., Henrique Ferreira, Bruno Leonardo Macedo |
| author_facet | Kawai, Daniel Eiti Nishida Guzzo Jr., Henrique Ferreira, Bruno Leonardo Macedo |
| contents | In this paper, we demonstrate that several classes of functions, specifically n-multiplicative isomorphisms, derivations, elementary maps, and Jordan elementary maps on a class of algebras that includes Jordan algebras with idempotents, J(a)-axial algebras and M(a,b)-axial algebras, are additive under appropriate conditions, which may be referred to as Martindale-type conditions. Furthermore, we answer the question left open in the recent article titled "Multiplicative isomorphisms and derivations on axial algebra." |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_21783 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the additivity of n-multiplicative isomorphisms, derivations, and related maps in axial algebras Kawai, Daniel Eiti Nishida Guzzo Jr., Henrique Ferreira, Bruno Leonardo Macedo Rings and Algebras Primary: 17A36, 17C27, Secondary: 17A01, 17D99 In this paper, we demonstrate that several classes of functions, specifically n-multiplicative isomorphisms, derivations, elementary maps, and Jordan elementary maps on a class of algebras that includes Jordan algebras with idempotents, J(a)-axial algebras and M(a,b)-axial algebras, are additive under appropriate conditions, which may be referred to as Martindale-type conditions. Furthermore, we answer the question left open in the recent article titled "Multiplicative isomorphisms and derivations on axial algebra." |
| title | On the additivity of n-multiplicative isomorphisms, derivations, and related maps in axial algebras |
| topic | Rings and Algebras Primary: 17A36, 17C27, Secondary: 17A01, 17D99 |
| url | https://arxiv.org/abs/2503.21783 |