Mitsuhiro Miyazaki

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math.AC2005

On the analytic spread and the reduction number of the ideal of maximal minors

Mitsuhiro Miyazaki

Let $m$ , $n$ , $a_{1}$ , ..., $a_{r}$ , $b_{1}$ , ..., $b_{r}$ be integers with $1 \leq a_{1} < ... < a_{r} \leq m$ and $1 \leq b_{1} < ... < b_{r} \leq n$ . And let $x$ be the universal $m \times n$ matrix with th…

math.AC2005

A sufficient condition for a Hibi ring to be level and levelness of Schubert cycles

Mitsuhiro Miyazaki

Let $K$ be a field, $D$ a finite distributive lattice and $P$ the set of all join-irreducible elements of $D$ . We show that if ${y \in P ∣ y \geq x}$ is pure for any $x \in P$ , th…

math.AC2004

On the discrete counterparts of Cohen-Macaulay algebras with straightening laws

Mitsuhiro Miyazaki

We study properties of a poset generating a Cohen-Macaulay algebra with straightening laws (ASL for short). We show that if a poset $P$ generates a Cohen-Macaulay ASL, then $P$ is…