Polynomial functions on subsets of non-commutative rings — a link between ringsets and null-ideal sets

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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].
Original languageEnglish
Title of host publicationProceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU)
PublisherEDP Sciences
Number of pages8
Publication statusPublished - 18 Dec 2018
EventInternational 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 201820 Dec 2018
https://icm2018.tdtu.edu.vn/

Publication series

NameITM Web of Conferences
Publisher EDP Sciences
Number18
Volume2018
ISSN (Electronic)2271-2097

Conference

ConferenceInternational Conference on Mathematics 2018
CountryViet Nam
CityHo Chi Minh City
Period18/12/1820/12/18
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

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  • Cite this

    Frisch, S. (2018). Polynomial functions on subsets of non-commutative rings — a link between ringsets and null-ideal sets. In Proceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU) (ITM Web of Conferences; Vol. 2018, No. 18). EDP Sciences.