A generalization of Kruskal–Katona’s theorem
2020 ◽
Vol 28
(2)
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pp. 35-51
Keyword(s):
AbstractLet K be a field, E the exterior algebra of a finite dimensional K-vector space, and F a finitely generated graded free E-module with homogeneous basis g1, . . ., gr such that deg g1 ≤ deg g2 ≤ · · · ≤ deg gr. We characterize the Hilbert functions of graded E–modules of the type F/M, with M graded submodule of F. The existence of a unique lexicographic submodule of F with the same Hilbert function as M plays a crucial role.
2009 ◽
Vol 12
(17)
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pp. 5-11
1991 ◽
Vol 43
(1)
◽
pp. 115-122
Keyword(s):
2016 ◽
Vol 101
(2)
◽
pp. 277-287
Keyword(s):
2011 ◽
Vol 10
(03)
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pp. 475-489
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Keyword(s):
1982 ◽
Vol 25
(2)
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pp. 133-139
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Keyword(s):