On composition and Right Distributive Law for formal power series of multiple variables
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866912809956147200 |
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| author | Bugajewski, Dariusz Galimberti, Alessia Maćkowiak, Piotr |
| author_facet | Bugajewski, Dariusz Galimberti, Alessia Maćkowiak, Piotr |
| contents | In the first part of the paper we prove a necessary and sufficient condition for the existence of the composition of formal power series in the case when the outer series is a series of one variable while the inner one is a series of multiple variables. The aim of the second part is to remove ambiguities connected with the Right Distributive Law for formal power series of one variable as well as to provide analogues of that law in the multivariable case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_06879 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On composition and Right Distributive Law for formal power series of multiple variables Bugajewski, Dariusz Galimberti, Alessia Maćkowiak, Piotr Commutative Algebra 13F25, 13J05 In the first part of the paper we prove a necessary and sufficient condition for the existence of the composition of formal power series in the case when the outer series is a series of one variable while the inner one is a series of multiple variables. The aim of the second part is to remove ambiguities connected with the Right Distributive Law for formal power series of one variable as well as to provide analogues of that law in the multivariable case. |
| title | On composition and Right Distributive Law for formal power series of multiple variables |
| topic | Commutative Algebra 13F25, 13J05 |
| url | https://arxiv.org/abs/2211.06879 |