Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/28737
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | He, Ji-Wei | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2019-07-16T12:39:51Z | - |
dc.date.available | 2019-07-16T12:39:51Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | ISRAEL JOURNAL OF MATHEMATICS, 231(1), p. 303-342 | - |
dc.identifier.issn | 0021-2172 | - |
dc.identifier.uri | http://hdl.handle.net/1942/28737 | - |
dc.description.abstract | An arbitrary group action on an algebra R results in an ideal r of R. This ideal r fits into the classical radical theory, and will be called the radical of the group action. If R is a noetherian algebra with finite GK-dimension and G is a finite group, then the difference between the GK-dimensions of R and that of R/r is called the pertinency of the group action. We provide some methods to find elements of the radical, which helps to calculate the pertinency of some special group actions. The r-adic local cohomology of R is related to the singularities of the invariant subalgebra R-G. We establish an equivalence between the quotient category of the invariant subalgebra RG and that of the skew group ring R * G through the torsion theory associated to the radical r. With the help of the equivalence, we show that the invariant subalgebra R-G will inherit certain a Cohen-Macaulay property from R. | - |
dc.description.sponsorship | We would like to thank the referee for his/her valuble suggestions and comments. Thanks to James Zhang for many helpful conversations. J.-W. He is supported by NSFC (No. 11571239, 11671341) and ZJNSF (No. LY19A010011)., and Y. Zhang is supported by an FWO grant. | - |
dc.language.iso | en | - |
dc.publisher | HEBREW UNIV MAGNES PRESS | - |
dc.title | Local cohomology associated to the radical of a group action on a noetherian algebra | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 342 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 303 | - |
dc.identifier.volume | 231 | - |
local.format.pages | 40 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [He, Ji-Wei] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China. [Zhang, Yinhuo] Univ Hasselt, Dept Math & Stat, Univ Campus, B-3590 Diepenbeek, Belgium. | - |
local.publisher.place | JERUSALEM | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s11856-019-1855-9 | - |
dc.identifier.isi | 000470717200010 | - |
item.fullcitation | He, Ji-Wei & ZHANG, Yinhuo (2019) Local cohomology associated to the radical of a group action on a noetherian algebra. In: ISRAEL JOURNAL OF MATHEMATICS, 231(1), p. 303-342. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2020 | - |
item.contributor | He, Ji-Wei | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0021-2172 | - |
crisitem.journal.eissn | 1565-8511 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
he 1.pdf Restricted Access | Published version | 292.12 kB | Adobe PDF | View/Open Request a copy |
localcohom4.pdf | Peer-reviewed author version | 460.1 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
2
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
4
checked on Sep 27, 2024
Page view(s)
116
checked on Sep 6, 2022
Download(s)
148
checked on Sep 6, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.