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Volumn 13, Issue 2, 2004, Pages 27-40

Commutator theory in strongly protomodular categories

Author keywords

Commutator; Fibration of points; Mal'cev; Protomodular; Semi abelian and strongly protomodular categories; Unital

Indexed keywords


EID: 32144433939     PISSN: 1201561X     EISSN: 1201561X     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (33)

References (24)
  • 1
    • 0002367970 scopus 로고
    • Exact categories
    • M. Barr, Exact categories, Springer L.N. in Math., 236, 1971, 1-120.
    • (1971) Springer L.N. in Math. , vol.236 , pp. 1-120
    • Barr, M.1
  • 2
    • 33646393905 scopus 로고    scopus 로고
    • A survey of semi-abelian categories
    • Hopf algebras and Semi-Abelian Categories, G Janelidze, B. Pareigis, W. Tholen eds., Amer. Math. Soc.
    • F. Borceux, A survey of semi-abelian categories, in Hopf algebras and Semi-Abelian Categories, G Janelidze, B. Pareigis, W. Tholen eds., the Fields Institute Communications vol 43, Amer. Math. Soc. 2004.
    • (2004) The Fields Institute Communications , vol.43
    • Borceux, F.1
  • 3
    • 10644282539 scopus 로고    scopus 로고
    • Mal'cev, protomodular, homological and semi-abelian categories
    • Kluwer
    • F. Borceux and D. Bourn, Mal'cev, protomodular, homological and semi-abelian categories, Kluwer, Mathematics and its applications, vol. 566, 2004.
    • (2004) Mathematics and Its Applications , vol.566
    • Borceux, F.1    Bourn, D.2
  • 4
    • 0000618814 scopus 로고    scopus 로고
    • Mal'cev categories and fibration of pointed objects
    • D. Bourn. Mal'cev categories and fibration of pointed objects. Applied Categorical Structures, 4, 1996, 307-327.
    • (1996) Applied Categorical Structures , vol.4 , pp. 307-327
    • 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, Journal of Algebra, 228, 2000, 143-164.
    • (2000) Journal of Algebra , vol.228 , pp. 143-164
    • Bourn, D.1
  • 6
    • 33845287801 scopus 로고    scopus 로고
    • Normal functors and strong protomodularity
    • D. Bourn, Normal functors and strong protomodularity, Th. and Applications of Categories, 7, 2000, 206-218.
    • (2000) Th. and Applications of Categories , vol.7 , pp. 206-218
    • Bourn, D.1
  • 7
    • 0036815211 scopus 로고    scopus 로고
    • Intrinsic centrality and associated classifying properties
    • D. Bourn, Intrinsic centrality and associated classifying properties, Journal of Algebra, 256, 2002, 126-145.
    • (2002) Journal of Algebra , vol.256 , pp. 126-145
    • Bourn, D.1
  • 8
    • 0037462215 scopus 로고    scopus 로고
    • The denormalized 3 × 3 lemma
    • D. Bourn, 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
  • 9
    • 32144457265 scopus 로고    scopus 로고
    • Commutator theory in regular Mal'cev categories
    • Hopf algebras and Semi-Abelian Categories, G Janelidze, B. Pareigis, W. Tholen eds., Amer. Math. Soc.
    • D. Bourn, Commutator theory in regular Mal'cev categories, in Hopf algebras and Semi-Abelian Categories, G Janelidze, B. Pareigis, W. Tholen eds., the Fields Institute Communications vol 43, Amer. Math. Soc. 2004, 61-75.
    • (2004) The Fields Institute Communications , vol.43 , pp. 61-75
    • Bourn, D.1
  • 10
    • 0001378821 scopus 로고    scopus 로고
    • Centrality and normality in protomodular categories
    • D. Bourn and M. Gran, Centrality and normality in protomodular categories, Th. and Applications of Categories, 9, 2002, 151-165.
    • (2002) Th. and Applications of Categories , vol.9 , pp. 151-165
    • Bourn, D.1    Gran, M.2
  • 11
    • 0036997930 scopus 로고    scopus 로고
    • Centrality and connectors in Maltsev categories
    • D. Bourn and M. Gran, Centrality and connectors in Maltsev categories, Algebra Universal, 48, 2002, 309-331.
    • (2002) Algebra Universal , vol.48 , pp. 309-331
    • Bourn, D.1    Gran, M.2
  • 12
    • 4444370922 scopus 로고    scopus 로고
    • Characterization of protomodular varieties of universal algebras
    • D. Bourn and G. Janelidze, Characterization of protomodular varieties of universal algebras, Th. and Applications of Categories, 11, 2003, 143-147.
    • (2003) Th. and Applications of Categories , vol.11 , pp. 143-147
    • Bourn, D.1    Janelidze, G.2
  • 15
    • 0000891844 scopus 로고
    • A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity
    • J. Hagemann and C. Hermann, A concrete ideal multiplication for algebraic systems and its relation to congruence distributivity, Arch. Math., 32, 1979, 234-245.
    • (1979) Arch. Math. , vol.32 , pp. 234-245
    • Hagemann, J.1    Hermann, C.2
  • 16
    • 0001168327 scopus 로고
    • Commutator, nilpotency and solvability in categories
    • S.A. Huq, Commutator, nilpotency and solvability in categories, Quart. J. Oxford, 19, 1968, 363-389.
    • (1968) Quart. J. Oxford , vol.19 , pp. 363-389
    • Huq, S.A.1
  • 18
    • 25144445459 scopus 로고
    • The closed subgroup theorem for localic herds and pregroupoids
    • P.T. Johnstone, The closed subgroup theorem for localic herds and pregroupoids, J. Pure Appl. Algebra, 70, 1989, 97-106.
    • (1989) J. Pure Appl. Algebra , vol.70 , pp. 97-106
    • Johnstone, P.T.1
  • 20
    • 0042362564 scopus 로고
    • The algebraic theory of moving frames
    • A. Kock, The algebraic theory of moving frames, Cahiers Top. Géom. Diff. Cat., 23, 1982, 347-362.
    • (1982) Cahiers Top. Géom. Diff. Cat. , vol.23 , pp. 347-362
    • Kock, A.1
  • 21
    • 0002738169 scopus 로고
    • On the general theory of algebraic systems
    • A. I. Mal'cev, On the general theory of algebraic systems, Mat. Sbornik N. S., 35, 1954, 3-20.
    • (1954) Mat. Sbornik N. S. , vol.35 , pp. 3-20
    • Mal'cev, A.I.1
  • 22
    • 0001306577 scopus 로고
    • A categorical approach to commutator theory
    • M.C. Pedicchio, A categorical approach to commutator theory, Journal of Algebra, 177, 1995, 647-657.
    • (1995) Journal of Algebra , vol.177 , pp. 647-657
    • Pedicchio, M.C.1
  • 23
    • 0000751097 scopus 로고    scopus 로고
    • Arithmetical categories and commutator theory
    • M.C. Pedicchio, Arithmetical categories and commutator theory, Appl. Categorical Structures, 4, 1996, 297-305.
    • (1996) Appl. Categorical Structures , vol.4 , pp. 297-305
    • Pedicchio, M.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.