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Volumn 12, Issue 1, 2004, Pages 195-224

Baer invariants in semi-abelian categories II: Homology

Author keywords

Baer invariant; Cotriple homology; Semi abelian category

Indexed keywords


EID: 10644236623     PISSN: 1201561X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (31)
  • 4
    • 0003606509 scopus 로고
    • Handbook of categorical algebra
    • 51, Cambridge University Press
    • -, Handbook of categorical algebra, Encyclopedia of Mathematics and its Applications, vol. 50, 51 and 52, Cambridge University Press, 1994.
    • (1994) Encyclopedia of Mathematics and Its Applications , vol.50-52
  • 7
    • 0001007733 scopus 로고
    • Normalization equivalence, kernel equivalence and affine categories
    • Springer
    • -, Normalization equivalence, kernel equivalence and affine categories, Category Theory, Proceedings Como 1990, Lecture notes in mathematics, vol. 1488, Springer, 1991, pp. 43-62.
    • (1991) Category Theory, Proceedings Como 1990, Lecture Notes in Mathematics , vol.1488 , pp. 43-62
  • 8
    • 0000618814 scopus 로고    scopus 로고
    • Mal'cev categories and fibration of pointed objects
    • -, Mal'cev categories and fibration of pointed objects, Appl. Categ. Struct. 4 (1996), 307-327.
    • (1996) Appl. Categ. Struct. , vol.4 , pp. 307-327
  • 9
    • 0034196476 scopus 로고    scopus 로고
    • Normal subobjects and abelian objects in protomodular categories
    • -, Normal subobjects and abelian objects in protomodular categories, J. Algebra 228 (2000), 143-164.
    • (2000) J. Algebra , vol.228 , pp. 143-164
  • 10
    • 0035866125 scopus 로고    scopus 로고
    • 3 × 3 lemma and protomodularity
    • -, 3 × 3 lemma and protomodularity, J. Algebra 236 (2001), 778-795.
    • (2001) J. Algebra , vol.236 , pp. 778-795
  • 11
    • 0037462215 scopus 로고    scopus 로고
    • The denormalized 3 × 3 lemma
    • -, The denormalized 3 × 3 lemma, J. Pure Appl. Algebra 177 (2003), 113-129.
    • (2003) J. Pure Appl. Algebra , vol.177 , pp. 113-129
  • 13
    • 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
  • 15
    • 0002899636 scopus 로고
    • Internal graphs and internal groupoids in Mal'cev categories
    • Monteal, Am. Math. Soc. for the Canad. Math. Soc., Providence
    • A. Carboni, M. C. Pedicchio, and N. Pirovano, Internal graphs and internal groupoids in Mal'cev categories, Proceedings of Conf. Category Theory 1991, Monteal, Am. Math. Soc. for the Canad. Math. Soc., Providence, 1992, pp. 97-109.
    • (1992) Proceedings of Conf. Category Theory 1991 , pp. 97-109
    • Carboni, A.1    Pedicchio, M.C.2    Pirovano, N.3
  • 18
    • 18644386519 scopus 로고    scopus 로고
    • Baer invariants in semi-abelian categories I: General theory
    • T. Everaert and T. Van der Linden, Baer invariants in semi-abelian categories I: general theory, Theory Appl. Categ. 12 (2004), no. 1, 1-33.
    • (2004) Theory Appl. Categ. , vol.12 , Issue.1 , pp. 1-33
    • Everaert, T.1    Van Der Linden, T.2
  • 20
    • 84960597990 scopus 로고
    • Groups with multiple operators
    • P. J. Higgins, Groups with multiple operators, Proc. London Math. Soc. (1956), 366-416.
    • (1956) Proc. London Math. Soc. , pp. 366-416
    • Higgins, P.J.1
  • 21
    • 51249195289 scopus 로고
    • Fundamentalgruppe und zweite Bettische Gruppe
    • H. Hopf, Fundamentalgruppe und zweite Bettische Gruppe, Comment. Math. Helv. 14 (1942), 257-309.
    • (1942) Comment. Math. Helv. , vol.14 , pp. 257-309
    • Hopf, H.1
  • 22
    • 0003322044 scopus 로고    scopus 로고
    • Model categories
    • American Mathematical Society, Providence
    • M. Hovey, Model categories, Mathematical Surveys and Monographs, vol. 63, American Mathematical Society, Providence, 1999.
    • (1999) Mathematical Surveys and Monographs , vol.63
    • Hovey, M.1
  • 23
    • 0001168327 scopus 로고
    • Commutator, nilpotency and solvability in categories
    • S. A. Huq, Commutator, nilpotency and solvability in categories, Quart. J. Math. Oxford 19 (1968), no. 2, 363-389.
    • (1968) Quart. J. Math. Oxford , vol.19 , Issue.2 , pp. 363-389
    • Huq, S.A.1
  • 24
    • 0001570616 scopus 로고
    • Galois theory and a general notion of central extension
    • G. Janelidze and G. M. Kelly, 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
  • 26
    • 0001524535 scopus 로고
    • Spaces with finitely many non-trivial homotopy groups
    • J.-L. Loday, Spaces with finitely many non-trivial homotopy groups, J. Pure Appl. Algebra 24 (1982), 179-202.
    • (1982) J. Pure Appl. Algebra , vol.24 , pp. 179-202
    • Loday, J.-L.1
  • 29
    • 0001215918 scopus 로고
    • Homology and central series of groups
    • J. Starlings, Homology and central series of groups, J. Algebra 2 (1965), 170-181.
    • (1965) J. Algebra , vol.2 , pp. 170-181
    • Starlings, J.1
  • 30
    • 0000182748 scopus 로고
    • Anwendungen der homologietheorie der gruppen auf zentralreihen und auf invarianten von präsentierungen
    • U. Stammbach, Anwendungen der Homologietheorie der Gruppen auf Zentralreihen und auf Invarianten von Präsentierungen, Math. Z. 94 (1966), 157-177.
    • (1966) Math. Z. , vol.94 , pp. 157-177
    • Stammbach, U.1
  • 31
    • 0003238001 scopus 로고    scopus 로고
    • An introduction to homological algebra
    • Cambridge University Press
    • Ch. A. Weibel, An introduction to homological algebra, Cambridge studies in advanced mathematics, vol. 38, Cambridge University Press, 1997.
    • (1997) Cambridge Studies in Advanced Mathematics , vol.38
    • Weibel, Ch.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.