Satoshi Murai

most citedThe Lex-Plus-Powers Conjecture holds for pure powers

2 citations · 2 across the 1 of their papers we have counts for

collaborators

2 papers

math.AC2008★ 2 cited

The Lex-Plus-Powers Conjecture holds for pure powers

Jeff Mermin, Satoshi Murai

We prove Evans' Lex-Plus-Powers Conjecture for ideals containing a monomial regular sequence.

math.AC2007

Gotzmann ideals of the polynomial ring

Satoshi Murai, Takayuki Hibi

Let $A = K [x_{1}, ..., x_{n}]$ denote the polynomial ring in $n$ variables over a field $K$ . We will classify all the Gotzmann ideals of $A$ with at most $n$ generators. In addition, w…