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Stanley-Reisner rings whose Betti numbers are independent of the base field

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83423

Title: Stanley-Reisner rings whose Betti numbers are independent of the base field
Authors: Terai, N. Browse this author
Hibi, T. Browse this author
Issue Date: 1-Jan-1995
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 276
Start Page: 1
End Page: 12
Abstract: We study the Betti numbers which appear in a minimal free res­olution of the Stanley-Reisner ring k[􀀃] = A/ft:. of a simplicial com­plex 􀀃 over a field k. It is known that the second Betti number of k[􀀃] is independent of the base field k. We show that, when the ideal ft:. is generated by square-free monomials of degree two, the third and fourth Betti numbers are also independent of k. On the other hand, we prove that, if the goemetric realization of􀀃 is homeomorphic to either the 3-sphere or the 3-ball, then all the Betti numbers of k[􀀃] are independent of the base field k.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69027
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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