Subnearrings of (Z[x],+,o)

Erhard Aichinger; Sebastian Kreinecker

doi:10.48550/arXiv.1709.01345

Subnearrings of (Z[x],+,o)

Erhard Aichinger, Sebastian Kreinecker

Institute for Algebra

Research output: Working paper and reports › Preprint

Abstract

We show that the nearring (Z[x],+,o) of integer polynomials, where the nearring multiplication is the composition of polynomials, has uncountably many subnearrings, and we give an explicit description of those nearrings that are generated by subsets of {1,x,x^2,x^3}.

Original language	English
Number of pages	22
DOIs	https://doi.org/10.48550/arXiv.1709.01345
Publication status	Published - Sept 2017

Publication series

Name	arXiv.org
No.	arXiv:1709.01345
ISSN (Print)	2331-8422

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101013 Mathematical logic
102031 Theoretical computer science

JKU Focus areas

Computation in Informatics and Mathematics
Engineering and Natural Sciences (in general)

Access to Document

10.48550/arXiv.1709.01345

Clonoids: a unifying approach to equational logic and clones
Aichinger, E. (PI)
FWF
01.02.2017 → 31.01.2020
Project: Funded research › FWF - Austrian Science Fund

Cite this

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language = "English",

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AU - Kreinecker, Sebastian

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AB - We show that the nearring (Z[x],+,o) of integer polynomials, where the nearring multiplication is the composition of polynomials, has uncountably many subnearrings, and we give an explicit description of those nearrings that are generated by subsets of {1,x,x^2,x^3}.

U2 - 10.48550/arXiv.1709.01345

DO - 10.48550/arXiv.1709.01345

M3 - Preprint

T3 - arXiv.org

BT - Subnearrings of (Z[x],+,o)

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Subnearrings of (Z[x],+,o)

Abstract

Publication series

Fields of science

JKU Focus areas

Access to Document

Projects

Clonoids: a unifying approach to equational logic and clones

Cite this