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

Sophie Frisch

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

Institut für Analysis und Zahlentheorie (5010)

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

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].

Originalsprache	englisch
Titel	Proceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU)
Herausgeber (Verlag)	EDP Sciences
Seitenumfang	8
Publikationsstatus	Veröffentlicht - 18 Dez. 2018
Veranstaltung	International Conference on Mathematics 2018, Recent advances in Algebra, Numerical Analysis, Applied Analysis and Statistics - Ton Duc Thang University (TDTU), Ho Chi Minh City, Vietnam Dauer: 18 Dez. 2018 → 20 Dez. 2018 https://icm2018.tdtu.edu.vn/ http://icm2018.tdtu.edu.vn/

Publikationsreihe

Name	ITM Web of Conferences
Herausgeber (Verlag)	EDP Sciences
Nummer	18
Band	2018
ISSN (elektronisch)	2271-2097

Konferenz

Konferenz	International Conference on Mathematics 2018, Recent advances in Algebra, Numerical Analysis, Applied Analysis and Statistics
Land/Gebiet	Vietnam
Ort	Ho Chi Minh City
Zeitraum	18/12/18 → 20/12/18
Internetadresse	https://icm2018.tdtu.edu.vn/ http://icm2018.tdtu.edu.vn/

ASJC Scopus subject areas

Algebra und Zahlentheorie

Fields of Expertise

Information, Communication & Computing

Zugriff auf Dokument

https://doi.org/10.1051/itmconf/20182001003

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Polynomial functions on subsets of non-commutative rings — a link between ringsets and null-ideal sets. / Frisch, Sophie.
Proceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU). EDP Sciences, 2018. (ITM Web of Conferences; Band 2018, Nr. 18).

Publikation: Beitrag in Buch/Bericht/Konferenzband › Beitrag in einem Konferenzband › Begutachtung

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, Nr. 18, Bd. 2018, EDP Sciences, International Conference on Mathematics 2018, Recent advances in Algebra, Numerical Analysis, Applied Analysis and Statistics, Ho Chi Minh City, Vietnam, 18/12/18. <https://doi.org/10.1051/itmconf/20182001003>

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

abstract = "Regarding polynomial functions on a subset S of a non-commutativering 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].",

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

author = "Sophie Frisch",

year = "2018",

month = dec,

day = "18",

language = "English",

series = "ITM Web of Conferences",

publisher = "EDP Sciences",

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booktitle = "Proceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU)",

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note = "International Conference on Mathematics 2018, Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics ; Conference date: 18-12-2018 Through 20-12-2018",

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TY - GEN

T1 - Polynomial functions on subsets of non-commutative rings — a link between ringsets and null-ideal sets

AU - Frisch, Sophie

PY - 2018/12/18

Y1 - 2018/12/18

N2 - Regarding polynomial functions on a subset S of a non-commutativering 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].

AB - Regarding polynomial functions on a subset S of a non-commutativering 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].

KW - rings, modules, algebras

KW - non-commutative rings

KW - polynomial functions

KW - polynomial mappings

KW - matrix algebras

KW - null polynomials

KW - ring sets

KW - null-ideal sets

KW - null ideals

KW - finite rings

UR - https://www.itm-conferences.org/articles/itmconf/abs/2018/05/contents/contents.html

UR - http://blah.math.tu-graz.ac.at/~frisch/wwwpdf/ring-and-nullideal-sets__S._Frisch.pdf

M3 - Conference paper

T3 - ITM Web of Conferences

BT - Proceedings of the international confreence on mathematics Dec 18-22, 2018, at Ton Duc Thang University (TDTU)

PB - EDP Sciences

T2 - International Conference on Mathematics 2018, Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics

Y2 - 18 December 2018 through 20 December 2018

ER -

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

Abstract

Publikationsreihe

Konferenz

ASJC Scopus subject areas

Fields of Expertise

Zugriff auf Dokument

Andere Dateien und Links

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