A Gorenstein Ring with Larger Dilworth Number than Sperner Number
Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 100-104
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A counterexample is given to a conjecture of Ikeda by finding a class of Gorenstein rings of embedding dimension 3 with larger Dilworth number than Sperner number. The Dilworth number of $A\left[ {Z}/{pZ}\;\,\oplus \,{Z}/{pZ}\; \right]$ is computed when $A$ is an unramified principal Artin local ring.
Okon, James S.; Vicknair, J. Paul. A Gorenstein Ring with Larger Dilworth Number than Sperner Number. Canadian mathematical bulletin, Tome 43 (2000) no. 1, pp. 100-104. doi: 10.4153/CMB-2000-015-2
@article{10_4153_CMB_2000_015_2,
author = {Okon, James S. and Vicknair, J. Paul},
title = {A {Gorenstein} {Ring} with {Larger} {Dilworth} {Number} than {Sperner} {Number}},
journal = {Canadian mathematical bulletin},
pages = {100--104},
year = {2000},
volume = {43},
number = {1},
doi = {10.4153/CMB-2000-015-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-015-2/}
}
TY - JOUR AU - Okon, James S. AU - Vicknair, J. Paul TI - A Gorenstein Ring with Larger Dilworth Number than Sperner Number JO - Canadian mathematical bulletin PY - 2000 SP - 100 EP - 104 VL - 43 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-015-2/ DO - 10.4153/CMB-2000-015-2 ID - 10_4153_CMB_2000_015_2 ER -
%0 Journal Article %A Okon, James S. %A Vicknair, J. Paul %T A Gorenstein Ring with Larger Dilworth Number than Sperner Number %J Canadian mathematical bulletin %D 2000 %P 100-104 %V 43 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-015-2/ %R 10.4153/CMB-2000-015-2 %F 10_4153_CMB_2000_015_2
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