Idempotent Elements in Tricomplex Numbers
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| Formato: | Recurso digital |
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2025
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| _version_ | 1866902224366469120 |
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| author | KUMAR, JOGENDRA |
| author_facet | KUMAR, JOGENDRA |
| contents | <p><span>In 1892, in search for special algebras, <strong>Corrado Segre </strong>published a paper in which he introduced an infinite family of algebras whose elements are called bicomplex numbers, tricomplex numbers… , n – complex numbers. In that paper <strong>Segre</strong> introduced idempotent elements of bicomplex numbers. Idempotent elements play a central role in the theory of bicomplex numbers. </span><span lang="EN-GB">This paper introduces the algebraic structure of <strong>Tricomplex Numbers</strong> exploring some of their fundamental properties. We have identified and characterized <strong>sixteen distinct idempotent elements</strong> of Tricomplex Numbers. We also discuss their properties and establish the relationships among them.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17023682 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Idempotent Elements in Tricomplex Numbers KUMAR, JOGENDRA <p><span>In 1892, in search for special algebras, <strong>Corrado Segre </strong>published a paper in which he introduced an infinite family of algebras whose elements are called bicomplex numbers, tricomplex numbers… , n – complex numbers. In that paper <strong>Segre</strong> introduced idempotent elements of bicomplex numbers. Idempotent elements play a central role in the theory of bicomplex numbers. </span><span lang="EN-GB">This paper introduces the algebraic structure of <strong>Tricomplex Numbers</strong> exploring some of their fundamental properties. We have identified and characterized <strong>sixteen distinct idempotent elements</strong> of Tricomplex Numbers. We also discuss their properties and establish the relationships among them.</span></p> |
| title | Idempotent Elements in Tricomplex Numbers |
| url | https://doi.org/10.5281/zenodo.17023682 |