메뉴 건너뛰기




Volumn 11, Issue 4, 2004, Pages 645-654

Extensions with abelian kernels in protomodular categories

Author keywords

extension; Opext functor; Protomodular category; semi abelian category; torsor

Indexed keywords


EID: 84988471270     PISSN: 1072947X     EISSN: 15729176     Source Type: Journal    
DOI: 10.1515/GMJ.2004.645     Document Type: Article
Times cited : (26)

References (26)
  • 1
    • 85026058220 scopus 로고    scopus 로고
    • A survey of homology theories. Invited Talk on Workshop on Categorical Structures for Descent and Galois Theory
    • Fields Institute, Toronto.
    • M. Barr, A survey of homology theories. Invited Talk on Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras and Semiabelian Categories, Fields Institute, Toronto, 2002.
    • (2002) Hopf Algebras and Semiabelian Categories
    • Barr, M.1
  • 2
    • 10644282539 scopus 로고    scopus 로고
    • Mal'cev, protomodular, homological and semi-abelian categories
    • Kluwer Academic Publishers, Dordrecht.
    • F. Borceux and D. Bourn, Mal'cev, protomodular, homological and semi-abelian categories. Mathematics and its Applications, 566. Kluwer Academic Publishers, Dordrecht, 2004.
    • (2004) Mathematics and its Applications , vol.566
    • Borceux, F.1    Bourn, D.2
  • 4
    • 0001007733 scopus 로고
    • Normalization equivalence, kernel equivalence and affine categories. Category theory
    • (Como, 1990), Springer, Berlin.
    • D. Bourn, Normalization equivalence, kernel equivalence and affine categories. Category theory (Como, 1990), 43-62, Lecture Notes in Math., 1488, Springer, Berlin, 1991.
    • (1991) Lecture Notes in Math. , vol.1488 , pp. 43-62
    • Bourn, D.1
  • 5
    • 0034196476 scopus 로고    scopus 로고
    • Normal subobjects and abelian objects in protomodular categories
    • D. Bourn, Normal subobjects and abelian objects in protomodular categories. J. Algebra 228(2000), No. 1, 143-164.
    • (2000) J. Algebra , vol.228 , Issue.1 , pp. 143-164
    • Bourn, D.1
  • 6
    • 32144457265 scopus 로고    scopus 로고
    • Commutator theory in regular Mal'tsev categories
    • (to appear).
    • D. Bourn, Commutator theory in regular Mal'tsev categories. Fields Institute Communication Series 43(2004) (to appear).
    • (2004) Fields Institute Communication Series , vol.43
    • Bourn, D.1
  • 7
    • 85026090137 scopus 로고    scopus 로고
    • Commutator theory in strongly protomodular categories
    • Preprint
    • D. Bourn, Commutator theory in strongly protomodular categories. Univ. Littoral, Preprint 208, 2004.
    • (2004) Univ. Littoral , vol.208
    • Bourn, D.1
  • 8
    • 0036997930 scopus 로고    scopus 로고
    • Centrality and connectors in Maltsev categories
    • D. Bourn and M. Gran, Centrality and connectors in Maltsev categories. Algebra Universalis 48(2002), No. 3, 309-331.
    • (2002) Algebra Universalis , vol.48 , Issue.3 , pp. 309-331
    • Bourn, D.1    Gran, M.2
  • 9
    • 0001378821 scopus 로고    scopus 로고
    • Centrality and normality in protomodular categories. CT2000 Conference
    • D. Bourn and M. Gran, Centrality and normality in protomodular categories. CT2000 Conference (Como). Theory Appl. Categ. 9(2001-2002), 151-165.
    • (2001) (Como). Theory Appl. Categ. , vol.9 , pp. 151-165
    • Bourn, D.1    Gran, M.2
  • 10
    • 54649084930 scopus 로고    scopus 로고
    • Protomodularity, descent, and semidirect products
    • D. Bourn and G. Janelidze, Protomodularity, descent, and semidirect products. Theory Appl. Categ. 4(1998), No. 2, 37-46.
    • (1998) Theory Appl. Categ. , vol.4 , Issue.2 , pp. 37-46
    • Bourn, D.1    Janelidze, G.2
  • 11
    • 4444370922 scopus 로고    scopus 로고
    • Characterization of protomodular varieties of universal algebras
    • D. Bourn and G. Janelidze, Characterization of protomodular varieties of universal algebras. Theory Appl. Categ. 11(2003), No. 6, 143-147.
    • (2003) Theory Appl. Categ. , vol.11 , Issue.6 , pp. 143-147
    • Bourn, D.1    Janelidze, G.2
  • 12
    • 0002899636 scopus 로고
    • Internal graphs and internal groupoids in Mal'cev categories. Category theory 1991
    • (Montreal, PQ, 1991), CMS Conf. Proc., Providence, RI.
    • A. Carboni, M. C. Pedicchio, and N. Pirovano, Internal graphs and internal groupoids in Mal'cev categories. Category theory 1991 (Montreal, PQ, 1991), 97-109, CMS Conf. Proc., 13, Amer. Math. Soc., Providence, RI, 1992.
    • (1992) Amer. Math. Soc. , vol.13 , pp. 97-109
    • Carboni, A.1    Pedicchio, M.C.2    Pirovano, N.3
  • 13
    • 0008483154 scopus 로고
    • A categorical setting for the Baer extension theory. Applications of Categorical Algebra
    • (Proc. Sympos. Pure Math., New York, 1968), Providence, R.I.
    • M. Gerstenhaber, A categorical setting for the Baer extension theory. Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVII, New York, 1968), 50-64. Amer. Math. Soc., Providence, R.I., 1970.
    • (1970) Amer. Math. Soc. , vol.17 , pp. 50-64
    • Gerstenhaber, M.1
  • 14
    • 84960597990 scopus 로고
    • Groups with multiple operators
    • P. J. Higgins, Groups with multiple operators. Proc. London Math. Soc. (3) 6(1956), 366-416.
    • (1956) Proc. London Math. Soc , vol.6 , Issue.3 , pp. 366-416
    • Higgins, P.J.1
  • 15
    • 0003194097 scopus 로고    scopus 로고
    • Pseudogroupoids and commutators
    • G. Janelidze and M. C. Pedicchio, Pseudogroupoids and commutators. Theory Appl. Categ. 8(2001), No. 15, 408-456.
    • (2001) Theory Appl. Categ. , vol.8 , Issue.15 , pp. 408-456
    • Janelidze, G.1    Pedicchio, M.C.2
  • 17
    • 38249023706 scopus 로고
    • Fibre bundles in general categories
    • A. Kock, Fibre bundles in general categories. J. Pure Appl. Algebra 56(1989), No. 3, 233-245.
    • (1989) J. Pure Appl. Algebra , vol.56 , Issue.3 , pp. 233-245
    • Kock, A.1
  • 18
    • 25144450208 scopus 로고
    • Generalized fibre bundles. Categorical algebra and its applications (Louvain-La-Neuve, 1987)
    • Springer, Berlin.
    • A. Kock, Generalized fibre bundles. Categorical algebra and its applications (Louvain-La-Neuve, 1987), 194-207, Lecture Notes in Math., 1348, Springer, Berlin, 1988.
    • (1988) Lecture Notes in Math. , vol.1348 , pp. 194-207
    • Kock, A.1
  • 19
    • 0003361584 scopus 로고
    • Homology
    • Bd. 114. Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Gttingen-Heidelberg.
    • S. Mac Lane, Homology. Die Grundlehren dder mathematischen Wissenschaften, Bd. 114. Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Gttingen-Heidelberg, 1963.
    • (1963) Die Grundlehren dder mathematischen Wissenschaften
    • Mac Lane, S.1
  • 20
    • 0011663849 scopus 로고
    • Obstruction theory in algebraic categories
    • G. Orzech, Obstruction theory in algebraic categories. I. J. Pure Appl. Algebra 2(1972), 287-314.
    • (1972) I. J. Pure Appl. Algebra , vol.2 , pp. 287-314
    • Orzech, G.1
  • 21
    • 0001306577 scopus 로고
    • A categorical approach to commutator theory
    • M. C. Pedicchio, A categorical approach to commutator theory. J. Algebra 177(1995), No. 3, 647-657.
    • (1995) J. Algebra , vol.177 , Issue.3 , pp. 647-657
    • Pedicchio, M.C.1
  • 22
    • 0000751097 scopus 로고    scopus 로고
    • Arithmetical categories and commutator theory. The European Colloquium of Category Theory (Tours, 1994)
    • M. C. Pedicchio, Arithmetical categories and commutator theory. The European Colloquium of Category Theory (Tours, 1994). Appl. Categ. Structures 4(1996), No. 2-3, 297-305.
    • (1996) Appl. Categ. Structures , vol.4 , Issue.2-3 , pp. 297-305
    • Pedicchio, M.C.1
  • 23
    • 22044442050 scopus 로고    scopus 로고
    • Some remarks on internal pregroupoids in varieties
    • M. C. Pedicchio, Some remarks on internal pregroupoids in varieties. Comm. Algebra 26(1998), No. 6, 1737-1744.
    • (1998) Comm. Algebra , vol.26 , Issue.6 , pp. 1737-1744
    • Pedicchio, M.C.1
  • 24
    • 18544379594 scopus 로고    scopus 로고
    • Moore categories
    • D. Rodelo, Moore categories. Theory Appl. Categ. 12(2004), No. 6, 237-247.
    • (2004) Theory Appl. Categ. , vol.12 , Issue.6 , pp. 237-247
    • Rodelo, D.1
  • 26
    • 0039015359 scopus 로고
    • Osservazioni sulle varieta BIT
    • A. Ursini, Osservazioni sulle varieta BIT. Boll. Un. Mat. Ital. (4) 7(1973), 205-211.
    • (1973) Boll. Un. Mat. Ital. , vol.7 , Issue.4 , pp. 205-211
    • Ursini, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.