PreprintarXiv licencearXiv
Null polynomials over a finite ring need not form a two-sided ideal
Abstract
We give an example of a finite ring for which the set of polynomials inducing the zero function fails to be a two-sided ideal, disproving a conjecture of Werner.
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BibTeX
@misc{havlovec2026null,
title = {{Null polynomials over a finite ring need not form a two-sided ideal}},
author = {Valentin Havlovec},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.13251},
eprint = {2608.13251},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.13251},
}
RIS
TY - UNPB
TI - Null polynomials over a finite ring need not form a two-sided ideal
AU - Valentin Havlovec
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2608.13251
UR - https://arxiv.org/abs/2608.13251
AB - We give an example of a finite ring for which the set of polynomials inducing the zero function fails to be a two-sided ideal, disproving a conjecture of Werner.
ER -