Product of some large sets near idempotent
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866914746588987392 |
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| author | Biswas, Surajit Patra, Sourav Kanti Dey, Sabyasachi |
| author_facet | Biswas, Surajit Patra, Sourav Kanti Dey, Sabyasachi |
| contents | We characterize when the finite Cartesian product of central sets near idempotent is central near idempotent. Moreover, we provide a partial characterization for the infinite Cartesian product of the same. Then, we study the abundance of some large sets near idempotent. Also, we investigate the effect of tensor product near idempotent. Finally, as an application we provide the polynomial extension of Milliken-Taylor theorem near zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_09074 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Product of some large sets near idempotent Biswas, Surajit Patra, Sourav Kanti Dey, Sabyasachi Combinatorics 03E05, 05D10 We characterize when the finite Cartesian product of central sets near idempotent is central near idempotent. Moreover, we provide a partial characterization for the infinite Cartesian product of the same. Then, we study the abundance of some large sets near idempotent. Also, we investigate the effect of tensor product near idempotent. Finally, as an application we provide the polynomial extension of Milliken-Taylor theorem near zero. |
| title | Product of some large sets near idempotent |
| topic | Combinatorics 03E05, 05D10 |
| url | https://arxiv.org/abs/2201.09074 |