Results 61 to 70 of about 2,227,707 (156)

Stanley Kaizawa Interview, March 14, 2001 [PDF]

, 2001
Interview on 'Kabuki censorship during the Occupation of Japan between Stanley Kaizawa and James BrandonMarch 14, 2001 ...
Brandon, James R.
core   +1 more source

Some remarks on the Stanley depth for multigraded modules

Le Matematiche, 2008
We show that Stanley’s conjecture holds for any multigraded module M over S, with sdepth(M) = 0, where S = K[x_1; ... ; x_n]. Also, we give some bounds for the Stanley depth of the powers of the maximal irrelevant ideal in S.
Mircea Cimpoeas
doaj  

ON THE STANLEY DEPTH AND SIZE OF MONOMIAL IDEALS

Glasgow Mathematical Journal, 2017
AbstractLet $\mathbb{K}$ be a field and S = ${\mathbb{K}}$[x1, . . ., xn] be the polynomial ring in n variables over the field $\mathbb{K}$. For every monomial ideal I ⊂ S, we provide a recursive formula to determine a lower bound for the Stanley depth of S/I.
openaire   +2 more sources

ON THE STANLEY DEPTH OF EDGE IDEALS OF LINE AND CYCLIC GRAPHS

Romanian Journal of Mathematics and Computer Science, 2015
We prove that the edge ideals of line and cyclic graphs and their quotient rings satisfy the Stanley conjecture. We compute the Stanley depth for the quotient ring of the edge ideal associated to a cycle graph of length n, given a precise formula for n ≡
MIRCEA CIMPOEAS
doaj  

Stanley Kaizawa Interview #5, June 23, 2000 [PDF]

, 2000
Interview on 'Kabuki censorship during the Occupation of Japan between Stanley Kaizawa and James BrandonJune 23, 2000 ...
Brandon, James R.
core   +1 more source

Stanley Kaizawa Interview #2, June 13, 2000 [PDF]

, 2000
Interview on 'Kabuki censorship during the Occupation of Japan between Stanley Kaizawa and James BrandonJune 13, 2000 ...
Brandon, James R.
core   +1 more source

Stanley Kaizawa Interview, March 20, 2002 [PDF]

, 2002
Interview on 'Kabuki censorship during the Occupation of Japan between Stanley Kaizawa and James BrandonMarch 20, 2002 handwritten note (kaizawa folder box ...
Brandon, James R.
core   +1 more source

An inequality between depth and Stanley depth

, 2009
We show that Stanley's Conjecture holds for square free monomial ideals in five variables, that is the Stanley depth of a square free monomial ideal in five variables is greater or equal with its depth.
openaire   +2 more sources

Combinatorial Reductions for the Stanley Depth of $I$ and $S/I$

The Electronic Journal of Combinatorics, 2017
We develop combinatorial tools to study the relationship between the Stanley depth of a monomial ideal $I$ and the Stanley depth of its compliment, $S/I$. Using these results we are able to prove that if $S$ is a polynomial ring with at most 5 indeterminates and $I$ is a square-free monomial ideal, then the Stanley depth of $S/I$ is strictly larger ...
Mitchel T. Keller, Stephen J. Young
openaire   +4 more sources

Notes on symmetric and exterior depth and annihilator numbers

Le Matematiche, 2008
We survey and compare invariants of modules over the polynomial ring and the exterior algebra. In our considerations, we focus on the depth. The exterior analogue of depth was first introduced by Aramova, Avramov and Herzog.
Gesa Kampf, Martina Kubitzke
doaj