@Article{CMR-38-3,
author = {Ying, Guo and Xiankun, Du and Xu, Xiaowei},
title = {Armendariz Property of $k[x,y]$ Modulo Monomial Ideals},
journal = {Communications in Mathematical Research },
year = {2022},
volume = {38},
number = {3},
pages = {422--430},
abstract = {<p style="text-align: justify;">In this paper, we give equivalent conditions for the factor rings of
the polynomial ring $k[x,y]$ modulo monomial ideals to be Armendariz rings,
where $k$ is a field. For an ideal $I$ with 2 or 3 monomial generators, or $n$ homogeneous monomial generators, such that $k[x,y]/I$ is an Armendariz ring, we
characterize the minimal generator set $G(I)$ of $I.$</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2022-0005},
url = {https://global-sci.com/article/81490/armendariz-property-of-kxy-modulo-monomial-ideals}
}