The Bongartz's theorem of Gorenstein cosilting complexes

키워드

참고문헌 (32)

1. L. Angeleri-Hugel, "Infinitely generated tilting modules of finite projective dimension", Forum Math, 13(2), pp.239~250 (2001)[DOI]
2. J. Asadollahi, "On relative derived categories", Comm. Algebra, 44(12), pp.5454~5477 (2016)[DOI]
3. Stable Module Theory, "M. Auslander", Amer. Math. Soc., Providence, RI, ~ (1969)
4. M. Auslander, "The homological theory of maximal Cohen-Macaulay approximations", Mem. Soc. Math. France (N.S.), (38), pp.5~37 (1989)
5. M. Auslander, "Applications of contravariantly finite subcategories", Adv. Math, 86(1), pp.111~152 (1991)[DOI]
6. M. Auslander, "Relative homology and representation theory. I. Relative homology and homologically finite subcategories", Comm. Algebra, 21(9), pp.2995~3031 (1993)[DOI]
7. M. Auslander, "Relative homology and representation theory. II. Relative cotilting theory", Comm. Algebra, 21(9), pp.3033~3079 (1993)[DOI]
8. M. Auslander, "Relative homology and representation theory. III. Cotilting modules and Wedderburn correspondence", Comm. Algebra, 21(9), pp.3081~3097 (1993)[DOI]
9. S. Brenner, "Generalizations of the Bernstein-Gelfand-Ponomarev reflection functors, in Representation theory, II", Proc. Second Internat. Conf, pp.103~169 (1980), Springer
10. A. B. Buan, "Subcategories of the derived category and cotilting complexes", Colloq. Math, 88(1), pp.1~11 (2001)[DOI]
11. A. B. Buan, "A silting theorem", J. Pure Appl. Algebra, 220(7), pp.2748~2770 (2016)[DOI]
12. W. Q. Cao, "Gorenstein silting complexes", Glasg. Math. J, 64(1), pp.122~135 (2022)[DOI]
13. L. W. Christensen, "injective and flat dimensions—a functorial description with applications", J. Algebra, 302(1), pp.231~279 (2006)[DOI]
14. R. R. Colby, "Equivalence and duality for module categories" (2004), Cambridge Univ. Press
15. R. Colpi, "Tilting modules and tilting torsion theories", J. Algebra, 178(2), pp.614~634 (1995)[DOI]
16. E. E. Enochs, "Gorenstein injective and projective modules", Math. Z, 220(4), pp.611~633 (1995)[DOI]
17. E. E. Enochs, "Relative Homological Algebra" (2000), Walter de Gruyter & Co
18. N. Gao, "Gorenstein derived categories", J. Algebra, 323(7), pp.2041~2057 (2010)[DOI]
19. D. Happel, "Tilted algebras", Trans. Amer. Math. Soc, 274(2), pp.399~443 (1982)[DOI]
20. M. Hoshino, "On t-structures and torsion theories induced by compact objects", J. Pure Appl. Algebra, 167(1), pp.15~35 (2002)[DOI]
21. B. Keller, "Handbook of algebra Vol. 1", pp.671~701 (1996), Elsevier
22. B. Keller, "Aisles in derived categories", Bull. Soc. Math. Belg. S´er. A, 40(2), pp.239~253 (1988)
23. H. Koga, "On partial tilting complexes", Comm. Algebra, 39(7), pp.2417~2429 (2011)[DOI]
24. J. Miyachi, "Extensions of rings and tilting complexes", J. Pure Appl. Algebra, 105(2), pp.183~194 (1995)[DOI]
25. P. Moradifar, "Infinitely generated Gorenstein tilting modules", Algebr. Represent. Theory, 25(6), pp.1389~1427 (2022)[DOI]
26. J. Rickard, "Morita theory for derived categories", J. London Math. Soc, 39(3), pp.436~456 (1989)[DOI]
27. J. Rickard, "Derived categories and stable equivalence", J. Pure Appl. Algebra, 61(3), pp.303~317 (1989)[DOI]
28. J.-L. Verdier, "Des cat´egories d´eriv´ees des cat´egories ab´eliennes", Ast´erisque, (239) (1996)
29. J. Q. Wei, "A note on relative tilting modules", J. Pure Appl. Algebra, 214(4), pp.493~500 (2010)[DOI]
30. J. Q. Wei, "Semi-tilting complexes", Israel J. Math, 194(2), pp.871~893 (2013)[DOI]
31. L. Yan, "Gorenstein cotilting and tilting modules", Comm. Algebra, 44(2), pp.591~603 (2016)[DOI]
32. P. Zhang, "Cosilting complexes and AIR-cotilting modules", J. Algebra, 491, pp.1~31 (2017)[DOI]

관련 논문AI추천