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2022-12-14T04:38:41Z
1169:1170
Sperner property and finite-dimensional Gorenstein algebras associated to matroids
Maeno, Toshiaki
Numata, Yasuhide
Sperner property
Lefschetz property
matroid
Gorenstein algebra
We prove the Lefschetz property for a certain class of finite-dimensional Gorenstein algebras associated to matroids. Our result implies the Sperner property of the vector space lattice. More generally, it is shown that the modular geometric lattice has the Sperner property. We also discuss the Grobner fan of the de fining ideal of our Gorenstein algebra.
Article
JOURNAL OF COMMUTATIVE ALGEBRA. 8(4):549-570 (2016)
ROCKY MT MATH CONSORTIUM
2016
eng
journal article
VoR
http://hdl.handle.net/10091/00020639
https://soar-ir.repo.nii.ac.jp/records/19878
https://doi.org/10.1216/JCA-2016-8-4-549
10.1216/JCA-2016-8-4-549
1939-0807
JOURNAL OF COMMUTATIVE ALGEBRA
8
4
549
570
https://soar-ir.repo.nii.ac.jp/record/19878/files/1477600747.pdf
application/pdf
170.4 kB
2018-06-13