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Volumn 161, Issue 1-2, 2000, Pages 37-91

Phantom maps and purity in modular representation theory, I

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EID: 0002804226     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (33)

References (34)
  • 1
    • 0003347622 scopus 로고
    • Rings and categories of modules
    • Springer, Berlin
    • F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Grad. Texts in Math. 13, Springer, Berlin, 1974.
    • (1974) Grad. Texts in Math. , vol.13
    • Anderson, F.W.1    Fuller, K.R.2
  • 2
    • 84946251343 scopus 로고
    • Representation theory of Artin algebras II
    • M. Auslander, Representation theory of Artin algebras II, Comm. Algebra 1 (1974), 269-310.
    • (1974) Comm. Algebra , vol.1 , pp. 269-310
    • Auslander, M.1
  • 3
    • 0002233961 scopus 로고
    • A homological approach to representations of algebras II: Tame hereditary algebras
    • D. Baer, H. Brune and H. Lenzing, A homological approach to representations of algebras II: tame hereditary algebras, J. Pure Appl. Algebra 26 (1982), 141-153.
    • (1982) J. Pure Appl. Algebra , vol.26 , pp. 141-153
    • Baer, D.1    Brune, H.2    Lenzing, H.3
  • 4
    • 0002303352 scopus 로고
    • A homological approach to representations of algebras I: The wild case
    • D. Baer and H. Lenzing, A homological approach to representations of algebras I: the wild case, ibid. 24 (1982), 227-233.
    • (1982) J. Pure Appl. Algebra , vol.24 , pp. 227-233
    • Baer, D.1    Lenzing, H.2
  • 5
    • 0003219931 scopus 로고
    • Representations and cohomology I: Basic representation theory of finite groups and associative algebras
    • Cambridge Univ. Press
    • D. J. Benson, Representations and Cohomology I: Basic representation theory of finite groups and associative algebras, Cambridge Stud. Adv. Math. 30, Cambridge Univ. Press, 1991.
    • (1991) Cambridge Stud. Adv. Math. , pp. 30
    • Benson, D.J.1
  • 6
    • 0003362047 scopus 로고
    • Representations and cohomology II: Cohomology of groups and modules
    • Cambridge Univ. Press
    • _, Representations and Cohomology II: Cohomology of groups and modules, Cambridge Stud. Adv. Math. 31, Cambridge Univ. Press, 1991.
    • (1991) Cambridge Stud. Adv. Math. , vol.31
  • 7
    • 0000382358 scopus 로고
    • Cohomology of modules in the principal block of a finite group
    • _, Cohomology of modules in the principal block of a finite group, New York J. Math. 1 (1995), 196-205.
    • (1995) New York J. Math. , vol.1 , pp. 196-205
  • 10
    • 21444456306 scopus 로고    scopus 로고
    • Complexity and varieties for infinitely generated modules, II
    • _, _, _, Complexity and varieties for infinitely generated modules, II, ibid. 120 (1996), 597-615.
    • (1996) Math. Proc. Cambridge Philos. Soc. , vol.120 , pp. 597-615
  • 11
    • 0031445899 scopus 로고    scopus 로고
    • Thick subcategories of the stable module category
    • _, _, _, Thick subcategories of the stable module category, Fund. Math. 153 (1997), 59-80.
    • (1997) Fund. Math. , vol.153 , pp. 59-80
  • 12
  • 14
    • 0000855198 scopus 로고    scopus 로고
    • Ideals in triangulated categories: Phantoms, ghosts and skeleta
    • J. D. Christensen, Ideals in triangulated categories: phantoms, ghosts and skeleta, Adv. Math. 136 (1998), 284-339.
    • (1998) Adv. Math. , vol.136 , pp. 284-339
    • Christensen, J.D.1
  • 15
    • 0032012178 scopus 로고    scopus 로고
    • Phantom maps and homology theories
    • J. D. Christensen and N. P. Strickland, Phantom maps and homology theories, Topology 37 (1998), 339-364.
    • (1998) Topology , vol.37 , pp. 339-364
    • Christensen, J.D.1    Strickland, N.P.2
  • 16
    • 0001378275 scopus 로고    scopus 로고
    • Phantom maps in the stable module category
    • G. Ph. Gnacadja, Phantom maps in the stable module category, J. Algebra 201 (1998), 686-702.
    • (1998) J. Algebra , vol.201 , pp. 686-702
    • Gnacadja, G.Ph.1
  • 17
    • 0001279515 scopus 로고
    • Spaces of the same n-type, for all n
    • B. Gray, Spaces of the same n-type, for all n, Topology 5 (1966), 241-243.
    • (1966) Topology , vol.5 , pp. 241-243
    • Gray, B.1
  • 19
    • 0000411068 scopus 로고
    • (i)
    • Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin, Springer, Berlin
    • (i), in: Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin, Lecture Notes in Math. 867, Springer, Berlin, 1981, 234-294.
    • (1981) Lecture Notes in Math. , vol.867 , pp. 234-294
  • 20
    • 0000013103 scopus 로고
    • The loop-space functor in homological algebra
    • A. Heller, The loop-space functor in homological algebra, Trans. Amer. Math. Soc. 96 (1960), 382-394.
    • (1960) Trans. Amer. Math. Soc. , vol.96 , pp. 382-394
    • Heller, A.1
  • 23
    • 0000120267 scopus 로고    scopus 로고
    • Generic modules over Artin algebras
    • H. Krause, Generic modules over Artin algebras, Proc. London Math. Soc. (3) 76 (1998), 276-306.
    • (1998) Proc. London Math. Soc. , vol.76 , Issue.3 , pp. 276-306
    • Krause, H.1
  • 25
    • 0001910269 scopus 로고
    • Phantom maps
    • I. M. James (ed.), North-Holland, Amsterdam
    • C. A. McGibbon, Phantom maps, in: Handbook of Algebraic Topology, I. M. James (ed.), North-Holland, Amsterdam, 1995, 1209-1257.
    • (1995) Handbook of Algebraic Topology , pp. 1209-1257
    • McGibbon, C.A.1
  • 26
    • 0031138786 scopus 로고    scopus 로고
    • On a theorem of Brown and Adams
    • A. Neeman, On a theorem of Brown and Adams, Topology 36 (1997), 619-645.
    • (1997) Topology , vol.36 , pp. 619-645
    • Neeman, A.1
  • 27
    • 0000803408 scopus 로고
    • Homological dimension and the continuum hypothesis
    • B. L. Osofsky, Homological dimension and the continuum hypothesis, Trans. Amer. Math. Soc. 132 (1968), 217-230.
    • (1968) Trans. Amer. Math. Soc. , vol.132 , pp. 217-230
    • Osofsky, B.L.1
  • 28
    • 0003355071 scopus 로고
    • Homological dimensions of modules
    • Amer. Math. Soc.
    • _, Homological Dimensions of Modules, CBMS Regional Conf. Series Math. 12, Amer. Math. Soc., 1973.
    • (1973) CBMS Regional Conf. Series Math. , vol.12
  • 29
  • 30
    • 0001407724 scopus 로고    scopus 로고
    • Idempotent modules in the stable category
    • J. Rickard, Idempotent modules in the stable category, J. London Math. Soc. 178 (1997), 149-170.
    • (1997) J. London Math. Soc. , vol.178 , pp. 149-170
    • Rickard, J.1
  • 31
    • 0000443042 scopus 로고
    • Sur les foncteurs dérivés de ←lim. Applications
    • J. E. Roos, Sur les foncteurs dérivés de ←lim. Applications, C. R. Acad. Sci. Paris 252 (1961), 3702-3704.
    • (1961) C. R. Acad. Sci. Paris , vol.252 , pp. 3702-3704
    • Roos, J.E.1
  • 32
    • 84972580919 scopus 로고
    • Purity and algebraic compactness for modules
    • R. B. Warfield, Purity and algebraic compactness for modules, Pacific J. Math. 28 (1969), 699-719.
    • (1969) Pacific J. Math. , vol.28 , pp. 699-719
    • Warfield, R.B.1
  • 33
    • 51249174603 scopus 로고
    • On phantom maps and a theorem of H. Miller
    • A. Zabrodsky, On phantom maps and a theorem of H. Miller, Israel J. Math. 58 (1987), 129-143.
    • (1987) Israel J. Math. , vol.58 , pp. 129-143
    • Zabrodsky, A.1
  • 34
    • 48749137601 scopus 로고
    • Model theory of modules
    • M. Ziegler, Model theory of modules, Ann. Pure Appl. Logic 26 (1984), 149-213.
    • (1984) Ann. Pure Appl. Logic , vol.26 , pp. 149-213
    • Ziegler, M.1


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