@article {
author = {Yang, S. and Chu, L. and Qian, Y.},
title = {Castelnuovo-Mumford regularity of products of monomial ideals},
journal = {Journal of Algebra and Related Topics},
volume = {3},
number = {2},
pages = {53-59},
year = {2015},
publisher = {University of Guilan},
issn = {2345-3931},
eissn = {2382-9877},
doi = {},
abstract = {Let $R=k[x_1,x_2,\cdots, x_N]$ be a polynomial ring over a field $k$. We prove that for any positive integers $m, n$, $\text{reg}(I^mJ^nK)\leq m\text{reg}(I)+n\text{reg}(J)+\text{reg}(K)$ if $I, J, K\subseteq R$ are three monomial complete intersections ($I$, $J$, $K$ are not necessarily proper ideals of the polynomial ring $R$), and $I, J$ are of the form $(x_{i_1}^{a_1}, x_{i_2}^{a_2}, \cdots, x_{i_l}^{a_l})$.},
keywords = {Castelnuovo-Mumford regularity,complete intersections,ideals of Borel type},
url = {https://jart.guilan.ac.ir/article_1541.html},
eprint = {https://jart.guilan.ac.ir/article_1541_3cee72350a59ab590b45b3ebf213a8d1.pdf}
}