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Volumn 212, Issue 3, 2008, Pages 636-651

On the second cohomology group in semi-abelian categories

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EID: 36049037334     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jpaa.2007.06.009     Document Type: Article
Times cited : (29)

References (39)
  • 1
    • 4444228300 scopus 로고    scopus 로고
    • Central extensions of precrossed modules
    • Arias D., and Ladra M. Central extensions of precrossed modules. Appl. Categ. Structures 12 4 (2004) 339-354
    • (2004) Appl. Categ. Structures , vol.12 , Issue.4 , pp. 339-354
    • Arias, D.1    Ladra, M.2
  • 2
    • 0002367970 scopus 로고
    • Exact categories
    • Exact Categories and Categories of Sheaves, Springer
    • Barr M. Exact categories. Exact Categories and Categories of Sheaves. Lecture Notes in Mathematics vol. 236 (1971), Springer 1-120
    • (1971) Lecture Notes in Mathematics , vol.236 , pp. 1-120
    • Barr, M.1
  • 3
    • 0001111268 scopus 로고
    • Homology and standard constructions
    • Seminar on Triples and Categorical Homology Theory, Springer
    • Barr M., and Beck J. Homology and standard constructions. Seminar on Triples and Categorical Homology Theory. Lecture Notes in Mathematics vol. 80 (1969), Springer 245-335
    • (1969) Lecture Notes in Mathematics , vol.80 , pp. 245-335
    • Barr, M.1    Beck, J.2
  • 4
    • 10644282539 scopus 로고    scopus 로고
    • Mal'cev, protomodular, homological and semi-abelian categories
    • Kluwer Academic Publishers
    • Borceux F., and Bourn D. Mal'cev, protomodular, homological and semi-abelian categories. Mathematics and its Applications vol. 566 (2004), Kluwer Academic Publishers
    • (2004) Mathematics and its Applications , vol.566
    • Borceux, F.1    Bourn, D.2
  • 5
    • 6944221225 scopus 로고    scopus 로고
    • Topological semi-abelian algebras
    • Borceux F., and Clementino M.M. Topological semi-abelian algebras. Adv. Math. 130 (2005) 425-453
    • (2005) Adv. Math. , vol.130 , pp. 425-453
    • Borceux, F.1    Clementino, M.M.2
  • 6
    • 0001007733 scopus 로고
    • Normalization equivalence, kernel equivalence and affine categories
    • Category Theory, Proceedings Como 1990. Carboni A., Pedicchio M.C., and Rosolini G. (Eds), Springer
    • Bourn D. Normalization equivalence, kernel equivalence and affine categories. In: Carboni A., Pedicchio M.C., and Rosolini G. (Eds). Category Theory, Proceedings Como 1990. Lecture Notes in Mathematics vol. 1488 (1991), Springer 43-62
    • (1991) Lecture Notes in Mathematics , vol.1488 , pp. 43-62
    • Bourn, D.1
  • 7
    • 0000419461 scopus 로고    scopus 로고
    • Baer sums and fibered aspects of Mal'cev operations
    • Bourn D. Baer sums and fibered aspects of Mal'cev operations. Cah. Topol. Géom. Différ. Catég. XL (1999) 297-316
    • (1999) Cah. Topol. Géom. Différ. Catég. , vol.XL , pp. 297-316
    • Bourn, D.1
  • 8
    • 0034196476 scopus 로고    scopus 로고
    • Normal subobjects and abelian objects in protomodular categories
    • Bourn D. Normal subobjects and abelian objects in protomodular categories. J. Algebra 228 (2000) 143-164
    • (2000) J. Algebra , vol.228 , pp. 143-164
    • Bourn, D.1
  • 9
    • 0035866125 scopus 로고    scopus 로고
    • 3×3 lemma and protomodularity
    • Bourn D. 3×3 lemma and protomodularity. J. Algebra 236 (2001) 778-795
    • (2001) J. Algebra , vol.236 , pp. 778-795
    • Bourn, D.1
  • 10
    • 0036815211 scopus 로고    scopus 로고
    • Intrinsic centrality and related classifying properties
    • Bourn D. Intrinsic centrality and related classifying properties. J. Algebra 256 (2002) 126-145
    • (2002) J. Algebra , vol.256 , pp. 126-145
    • Bourn, D.1
  • 11
    • 0037462215 scopus 로고    scopus 로고
    • The denormalized 3×3 lemma
    • Bourn D. The denormalized 3×3 lemma. J. Pure Appl. Algebra 177 (2003) 113-129
    • (2003) J. Pure Appl. Algebra , vol.177 , pp. 113-129
    • Bourn, D.1
  • 12
    • 32144433939 scopus 로고    scopus 로고
    • Commutator theory in strongly protomodular categories
    • Bourn D. Commutator theory in strongly protomodular categories. Theory Appl. Categ. 13 2 (2004) 27-40
    • (2004) Theory Appl. Categ. , vol.13 , Issue.2 , pp. 27-40
    • Bourn, D.1
  • 13
    • 0037044686 scopus 로고    scopus 로고
    • Central extensions in semi-abelian categories
    • Bourn D., and Gran M. Central extensions in semi-abelian categories. J. Pure Appl. Algebra 175 (2002) 31-44
    • (2002) J. Pure Appl. Algebra , vol.175 , pp. 31-44
    • Bourn, D.1    Gran, M.2
  • 14
    • 0001378821 scopus 로고    scopus 로고
    • Centrality and normality in protomodular categories
    • Bourn D., and Gran M. Centrality and normality in protomodular categories. Theory Appl. Categ. 9 8 (2002) 151-165
    • (2002) Theory Appl. Categ. , vol.9 , Issue.8 , pp. 151-165
    • Bourn, D.1    Gran, M.2
  • 15
    • 4444370922 scopus 로고    scopus 로고
    • Characterization of protomodular varieties of universal algebras
    • Bourn D., and Janelidze G. Characterization of protomodular varieties of universal algebras. Theory Appl. Categ. 11 6 (2003) 143-147
    • (2003) Theory Appl. Categ. , vol.11 , Issue.6 , pp. 143-147
    • Bourn, D.1    Janelidze, G.2
  • 16
    • 84988471270 scopus 로고    scopus 로고
    • Extensions with abelian kernels in protomodular categories
    • Bourn D., and Janelidze G. Extensions with abelian kernels in protomodular categories. Georgian Math. J. 11 4 (2004) 645-654
    • (2004) Georgian Math. J. , vol.11 , Issue.4 , pp. 645-654
    • Bourn, D.1    Janelidze, G.2
  • 18
    • 0002899636 scopus 로고
    • Internal graphs and internal groupoids in Mal'cev categories
    • Montreal, Am. Math. Soc. for the Canad. Math. Soc., Providence
    • Carboni A., Pedicchio M.C., and Pirovano N. Internal graphs and internal groupoids in Mal'cev categories. Proceedings of Conf. Category Theory 1991. Montreal (1992), Am. Math. Soc. for the Canad. Math. Soc., Providence 97-109
    • (1992) Proceedings of Conf. Category Theory 1991 , pp. 97-109
    • Carboni, A.1    Pedicchio, M.C.2    Pirovano, N.3
  • 20
    • 33144486160 scopus 로고    scopus 로고
    • Precrossed modules and Galois theory
    • Everaert T., and Gran M. Precrossed modules and Galois theory. J. Algebra 297 (2006) 292-309
    • (2006) J. Algebra , vol.297 , pp. 292-309
    • Everaert, T.1    Gran, M.2
  • 21
    • 18644386519 scopus 로고    scopus 로고
    • Baer invariants in semi-abelian categories I: General theory
    • Everaert T., and Van der Linden T. Baer invariants in semi-abelian categories I: General theory. Theory Appl. Categ. 12 1 (2004) 1-33
    • (2004) Theory Appl. Categ. , vol.12 , Issue.1 , pp. 1-33
    • Everaert, T.1    Van der Linden, T.2
  • 22
    • 10644236623 scopus 로고    scopus 로고
    • Baer invariants in semi-abelian categories II: Homology
    • Everaert T., and Van der Linden T. Baer invariants in semi-abelian categories II: Homology. Theory Appl. Categ. 12 4 (2004) 195-224
    • (2004) Theory Appl. Categ. , vol.12 , Issue.4 , pp. 195-224
    • Everaert, T.1    Van der Linden, T.2
  • 23
    • 0001578726 scopus 로고
    • Baer-invariants of algebras
    • Fröhlich A. Baer-invariants of algebras. Trans. Amer. Math. Soc. 109 (1963) 221-244
    • (1963) Trans. Amer. Math. Soc. , vol.109 , pp. 221-244
    • Fröhlich, A.1
  • 24
    • 0008483154 scopus 로고
    • A categorical setting for the Baer extension theory
    • Applications of Categorical Algebra. New York, 1968, Amer. Math. Soc., Providence, RI
    • Gerstenhaber M. A categorical setting for the Baer extension theory. Applications of Categorical Algebra. New York, 1968. Proc. Sympos. Pure Math. vol. XVII (1970), Amer. Math. Soc., Providence, RI 50-64
    • (1970) Proc. Sympos. Pure Math. , vol.XVII , pp. 50-64
    • Gerstenhaber, M.1
  • 25
    • 36049005180 scopus 로고    scopus 로고
    • M. Gran, Applications of categorical Galois theory in universal algebra, pp. 243-280, in Janelidze et al. [32]
  • 26
    • 33646404358 scopus 로고    scopus 로고
    • Semi-abelian monadic categories
    • Gran M., and Rosický J. Semi-abelian monadic categories. Theory Appl. Categ. 13 6 (2004) 106-113
    • (2004) Theory Appl. Categ. , vol.13 , Issue.6 , pp. 106-113
    • Gran, M.1    Rosický, J.2
  • 28
    • 0001168327 scopus 로고
    • Commutator, nilpotency and solvability in categories
    • Huq S.A. Commutator, nilpotency and solvability in categories. Quart. J. Math. Oxford 19 2 (1968) 363-389
    • (1968) Quart. J. Math. Oxford , vol.19 , Issue.2 , pp. 363-389
    • Huq, S.A.1
  • 29
    • 0001570616 scopus 로고
    • Galois theory and a general notion of central extension
    • Janelidze G., and Kelly G.M. Galois theory and a general notion of central extension. J. Pure Appl. Algebra 97 (1994) 135-161
    • (1994) J. Pure Appl. Algebra , vol.97 , pp. 135-161
    • Janelidze, G.1    Kelly, G.M.2
  • 30
    • 0001236801 scopus 로고    scopus 로고
    • Central extensions in Mal'tsev varieties
    • Janelidze G., and Kelly G.M. Central extensions in Mal'tsev varieties. Theory Appl. Categ. 7 10 (2000) 219-226
    • (2000) Theory Appl. Categ. , vol.7 , Issue.10 , pp. 219-226
    • Janelidze, G.1    Kelly, G.M.2
  • 32
    • 36048992007 scopus 로고    scopus 로고
    • Janelidze G., Pareigis B., and Tholen W. (Eds), American Mathematical Society
    • In: Janelidze G., Pareigis B., and Tholen W. (Eds). Galois Theory, Hopf Algebras, and Semiabelian Categories. Fields Institute Communications Series vol. 43 (2004), American Mathematical Society
    • (2004) Fields Institute Communications Series , vol.43
  • 33
  • 34
    • 36049022091 scopus 로고    scopus 로고
    • P.T. Johnstone, A note on the semiabelian variety of Heyting semilattices, pp. 317-318, in Janelidze et al. [32]
  • 35
    • 84974127835 scopus 로고
    • Baer-invariants and extensions relative to a variety
    • Lue A.S.-T. Baer-invariants and extensions relative to a variety. Proc. Camb. Phil. Soc. 63 (1967) 569-578
    • (1967) Proc. Camb. Phil. Soc. , vol.63 , pp. 569-578
    • Lue, A.S.-T.1
  • 37
    • 0001306577 scopus 로고
    • A categorical approach to commutator theory
    • Pedicchio M.C. A categorical approach to commutator theory. J. Algebra 177 (1995) 647-657
    • (1995) J. Algebra , vol.177 , pp. 647-657
    • Pedicchio, M.C.1
  • 39
    • 36048968419 scopus 로고    scopus 로고
    • T. Van der Linden, Homology and homotopy in semi-abelian categories, Ph.D. Thesis, Vrije Universiteit Brussel, 2006


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