Division properties of commuting polynomials
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915832452349952 |
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| author | Hasegawa, Kimiko Sugiyama, Rin |
| author_facet | Hasegawa, Kimiko Sugiyama, Rin |
| contents | Polynomials commute under composition are referred to as commuting polynomials. In this paper, we study division properties for commuting polynomials with rational (and integer) coefficients. As a consequence, we show an algebraic particularity of the commuting polynomials coming from weighted sums for cycle graphs with pendant edges (arXiv:2402.07209v1.). We also discuss a set of commuting polynomials over a field of positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01605 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Division properties of commuting polynomials Hasegawa, Kimiko Sugiyama, Rin Commutative Algebra Combinatorics 13A05, 13F20 Polynomials commute under composition are referred to as commuting polynomials. In this paper, we study division properties for commuting polynomials with rational (and integer) coefficients. As a consequence, we show an algebraic particularity of the commuting polynomials coming from weighted sums for cycle graphs with pendant edges (arXiv:2402.07209v1.). We also discuss a set of commuting polynomials over a field of positive characteristic. |
| title | Division properties of commuting polynomials |
| topic | Commutative Algebra Combinatorics 13A05, 13F20 |
| url | https://arxiv.org/abs/2404.01605 |