چکیده
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Let S = K[x1,..., xn] be the polynomial ring over
a field K and let I S be a monomial ideal. We say that I
has quotients with linear resolution with respect to the ordering
u1,...,ur of minimal generators whenever for all j, the colon ideal
(u1,...,uj-1) : uj and I itself have a linear resolution. The aim of
this paper is to discuss the following question: if I has quotients
with linear resolution with respect to the reverse lexicographical
ordering of the minimal generators induced by every ordering of
variables then can we say that I is polymatroidal?
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