## Abstract

Regarding polynomial functions on a subset S of a non-commutative

ring R, that is, functions induced by polynomials in R[x] (whose variable commutes with the coeffcients), we show connections between, on one hand, sets S such that the integer-valued polynomials on S form a ring, and, on the other hand, sets S such that the set of polynomials in R[x] that are zero on S is an ideal of R[x].

ring R, that is, functions induced by polynomials in R[x] (whose variable commutes with the coeffcients), we show connections between, on one hand, sets S such that the integer-valued polynomials on S form a ring, and, on the other hand, sets S such that the set of polynomials in R[x] that are zero on S is an ideal of R[x].

Original language | English |
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Title of host publication | Proceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU) |

Publisher | EDP Sciences |

Number of pages | 8 |

Publication status | Published - 18 Dec 2018 |

Event | International Conference on Mathematics 2018: Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics - Ton Duc Thang University (TDTU), Ho Chi Minh City, Viet Nam Duration: 18 Dec 2018 → 20 Dec 2018 https://icm2018.tdtu.edu.vn/ http://icm2018.tdtu.edu.vn/ |

### Publication series

Name | ITM Web of Conferences |
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Publisher | EDP Sciences |

Number | 18 |

Volume | 2018 |

ISSN (Electronic) | 2271-2097 |

### Conference

Conference | International Conference on Mathematics 2018 |
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Country/Territory | Viet Nam |

City | Ho Chi Minh City |

Period | 18/12/18 → 20/12/18 |

Internet address |

## Keywords

- rings, modules, algebras
- non-commutative rings
- polynomial functions
- polynomial mappings
- matrix algebras
- null polynomials
- ring sets
- null-ideal sets
- null ideals
- finite rings

## ASJC Scopus subject areas

- Algebra and Number Theory

## Fields of Expertise

- Information, Communication & Computing