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Proceedings of ASARC Workshop Daecheon & Muju 2009
(2009 / vol.11 / no.2)
Hilbert Functions of Standard Graded Algebras over a Field
Jung Pil Park
Pages. 25-29   



In this talk, we introduce Hilbert functions of a graded algebras over a field,
and one of the long standing conjectures concerning them, Fr"{o}berg conjecture.
Then we study relations between Fr"{o}berg conjecture
on Hilbert series and Moreno-Socias Conjecture. Consequently, we show that Fr"{o}berg conjecture holds for special cases as an example.



1. Almost Reverse Lexicographic Monomial Ideal



13A02, 13C05, 13D40, 13E10, 13P10