On injective dimension of F‐finite F‐modules and holonomic D‐modules
We investigate injective dimension of F ‐finite F ‐modules in characteristic p and holonomic D ‐modules in characteristic 0. One of our main results is the following. If either (a) R is a regular ring of finite type over an infinite field of characteristic p > 0 and M is an F R ‐finite F R ‐modul...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, Wenliang [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Rechteinformationen: |
Nutzungsrecht: © 2017 London Mathematical Society |
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| Schlagwörter: |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: The bulletin of the London Mathematical Society - Oxford : Oxford Univ. Press, 1969, 49(2017), 4, Seite 593-603 |
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| Übergeordnetes Werk: |
volume:49 ; year:2017 ; number:4 ; pages:593-603 |
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| DOI / URN: |
10.1112/blms.12050 |
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| 520 | |a We investigate injective dimension of F ‐finite F ‐modules in characteristic p and holonomic D ‐modules in characteristic 0. One of our main results is the following. If either (a) R is a regular ring of finite type over an infinite field of characteristic p > 0 and M is an F R ‐finite F R ‐module; or (b) R = k [ x 1 , … , x n ] , where k is a field of characteristic 0 and M is a holonomic D ( R , k ) ‐module. then inj.dim R ( M ) = dim ( Supp R ( M ) ) . | ||
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10.1112/blms.12050 doi PQ20171228 (DE-627)OLC1995909238 (DE-599)GBVOLC1995909238 (PRQ)a1160-535b5d30aa78dc14f3798de28bb3fababf590b2f899b7f0d5cba6eed17e121e30 (KEY)0047210720170000049000400593oninjectivedimensionofffinitefmodulesandholonomicd DE-627 ger DE-627 rakwb eng 510 DE-600 SA 6660 AVZ rvk 31.00 bkl Zhang, Wenliang verfasserin aut On injective dimension of F‐finite F‐modules and holonomic D‐modules 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier We investigate injective dimension of F ‐finite F ‐modules in characteristic p and holonomic D ‐modules in characteristic 0. One of our main results is the following. If either (a) R is a regular ring of finite type over an infinite field of characteristic p > 0 and M is an F R ‐finite F R ‐module; or (b) R = k [ x 1 , … , x n ] , where k is a field of characteristic 0 and M is a holonomic D ( R , k ) ‐module. then inj.dim R ( M ) = dim ( Supp R ( M ) ) . Nutzungsrecht: © 2017 London Mathematical Society 13D05 13A35 13N10 (primary) Commutative Algebra Mathematics Enthalten in The bulletin of the London Mathematical Society Oxford : Oxford Univ. Press, 1969 49(2017), 4, Seite 593-603 (DE-627)129067202 (DE-600)1352-3 (DE-576)01439863X 0024-6093 nnns volume:49 year:2017 number:4 pages:593-603 http://dx.doi.org/10.1112/blms.12050 Volltext http://onlinelibrary.wiley.com/doi/10.1112/blms.12050/abstract http://arxiv.org/abs/1606.00536 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_22 GBV_ILN_24 GBV_ILN_70 GBV_ILN_2007 GBV_ILN_2088 GBV_ILN_4027 GBV_ILN_4116 GBV_ILN_4318 GBV_ILN_4700 SA 6660 31.00 AVZ AR 49 2017 4 593-603 |
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On injective dimension of F‐finite F‐modules and holonomic D‐modules |
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On injective dimension of F‐finite F‐modules and holonomic D‐modules |
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Zhang, Wenliang |
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The bulletin of the London Mathematical Society |
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Zhang, Wenliang |
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10.1112/blms.12050 |
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510 |
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on injective dimension of f‐finite f‐modules and holonomic d‐modules |
| title_auth |
On injective dimension of F‐finite F‐modules and holonomic D‐modules |
| abstract |
We investigate injective dimension of F ‐finite F ‐modules in characteristic p and holonomic D ‐modules in characteristic 0. One of our main results is the following. If either (a) R is a regular ring of finite type over an infinite field of characteristic p > 0 and M is an F R ‐finite F R ‐module; or (b) R = k [ x 1 , … , x n ] , where k is a field of characteristic 0 and M is a holonomic D ( R , k ) ‐module. then inj.dim R ( M ) = dim ( Supp R ( M ) ) . |
| abstractGer |
We investigate injective dimension of F ‐finite F ‐modules in characteristic p and holonomic D ‐modules in characteristic 0. One of our main results is the following. If either (a) R is a regular ring of finite type over an infinite field of characteristic p > 0 and M is an F R ‐finite F R ‐module; or (b) R = k [ x 1 , … , x n ] , where k is a field of characteristic 0 and M is a holonomic D ( R , k ) ‐module. then inj.dim R ( M ) = dim ( Supp R ( M ) ) . |
| abstract_unstemmed |
We investigate injective dimension of F ‐finite F ‐modules in characteristic p and holonomic D ‐modules in characteristic 0. One of our main results is the following. If either (a) R is a regular ring of finite type over an infinite field of characteristic p > 0 and M is an F R ‐finite F R ‐module; or (b) R = k [ x 1 , … , x n ] , where k is a field of characteristic 0 and M is a holonomic D ( R , k ) ‐module. then inj.dim R ( M ) = dim ( Supp R ( M ) ) . |
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| title_short |
On injective dimension of F‐finite F‐modules and holonomic D‐modules |
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http://dx.doi.org/10.1112/blms.12050 http://onlinelibrary.wiley.com/doi/10.1112/blms.12050/abstract http://arxiv.org/abs/1606.00536 |
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