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|a QA251.3
|b .B93 2021
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| 100 |
1 |
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|a Buchweitz, Ragnar-Olaf,
|d 1952-
|e author.
|
| 245 |
1 |
0 |
|a Maximal Cohen-Macaulay modules and Tate cohomology /
|c Ragnar-Olaf Buchweitz ; with appendices by Luchezar L. Avramov, Benjamin Briggs, Srikanth B. Iyengar, Janina C. Letz.
|
| 264 |
|
1 |
|a Providence, Rhode Island :
|b American Mathematical Society,
|c [2021]
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| 300 |
|
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|a xii, 175 pages :
|b illustrations ;
|c 26 cm.
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| 336 |
|
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|a text
|b txt
|2 rdacontent
|
| 337 |
|
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|a unmediated
|b n
|2 rdamedia
|
| 338 |
|
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|a volume
|b nc
|2 rdacarrier
|
| 490 |
1 |
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|a Mathematical surveys and monographs,
|x 0076-5376 ;
|v volume 262
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| 504 |
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|a Includes bibliographical references and index.
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| 520 |
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|a This book is a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal Cohen-Macaulay modules over (not necessarily commutative) Gorenstein rings. The main result is that the stable category of maximal Cohen-Macaulay modules over a Gorenstein ring is equivalent to the stable derived category and also to the homotopy category of acyclic complexes of projective modules. This assimilates and significantly extends earlier work of Eisenbud on hypersurface singular.
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| 650 |
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|a Cohen-Macaulay modules.
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| 650 |
|
0 |
|a Modules (Algebra)
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| 650 |
|
0 |
|a Homology theory.
|
| 691 |
|
0 |
|a NEW BOOKS MATH
|
| 700 |
1 |
|
|a Avramov, L. L.
|q (Luchezar L.),
|d 1948-
|e contributor.
|
| 700 |
1 |
|
|a Briggs, Benjamin
|c (Mathematician),
|e contributor.
|
| 700 |
1 |
|
|a Iyengar, Srikanth,
|d 1970-
|e contributor.
|
| 700 |
1 |
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|a Letz, Janina C.,
|e contributor.
|
| 830 |
|
0 |
|a Mathematical surveys and monographs ;
|v no. 262.
|
| 907 |
|
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|a .b38082512
|b 04-11-22
|c 01-27-22
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