castelnuovo-mumford regularity of products of monomial ideals

نویسندگان

s. yang

l. chu

y. qian

چکیده

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 $m, n$, $text{reg}(i^mj^nk)leq mtext{reg}(i)+ntext{reg}(j)+text{reg}(k)$ if $i, j, ksubseteq r$ 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 $(x_{i_1}^{a_1}, x_{i_2}^{a_2}, cdots, x_{i_l}^{a_l})$.

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عنوان ژورنال:
journal of algebra and related topics

ناشر: university of guilan

ISSN 2345-3931

دوره 3

شماره 2 2015

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