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Finite atomic lattices and resolutions of monomial ideals
Finite atomic lattices resolutions of monomial ideals
2010/12/1
In this paper we primarily study monomial ideals and their minimal free resolutions by studying their associated LCM lattices.
The KP-II equation possesses a class of line soliton solutions which can be qualitatively described via a tropical approximation as a chain of rooted binary trees, except at“critical” events where a t...
The Order Properties of $r$-compact Operators on Banach Lattices
Banach lattice KB-space regular norm order continuous norm $r$-compact operator
2007/12/11
We present here that ${\mathscr F}(E, F)$, the space of all $r$-compact operators from $E$ into $F$, is a generalised sublattice of ${\mathscr L}^r(E, F)$ for arbitary Banach lattices $E$ and $F$, and...