Exploring Functional Identities: From Division Rings to Matrix Algebras
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913285986582528 |
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| author | Kawai, Daniel Ferreira, Bruno Leonardo Macedo |
| author_facet | Kawai, Daniel Ferreira, Bruno Leonardo Macedo |
| contents | In this paper, we tackle unresolved inquiries by Ferreira et al. \cite{bruno} in their recent publication, ``Functional Identity on Division Algebras". We delve into the intricate behavior of additive functions on matrix algebras over division rings through rigorous analysis and theorem-proving. Our findings offer valuable insights into the nature of these functions and their implications for algebraic structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17970 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exploring Functional Identities: From Division Rings to Matrix Algebras Kawai, Daniel Ferreira, Bruno Leonardo Macedo Rings and Algebras 16K20, 16R60 In this paper, we tackle unresolved inquiries by Ferreira et al. \cite{bruno} in their recent publication, ``Functional Identity on Division Algebras". We delve into the intricate behavior of additive functions on matrix algebras over division rings through rigorous analysis and theorem-proving. Our findings offer valuable insights into the nature of these functions and their implications for algebraic structures. |
| title | Exploring Functional Identities: From Division Rings to Matrix Algebras |
| topic | Rings and Algebras 16K20, 16R60 |
| url | https://arxiv.org/abs/2403.17970 |