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Volumn 305, Issue 1, 2006, Pages 18-47

Torsion theories in homological categories

Author keywords

Closure operators; Crossed modules; Homological categories; Topological groups and algebras; Torsion theories

Indexed keywords


EID: 33748750339     PISSN: 00218693     EISSN: 1090266X     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2006.07.011     Document Type: Article
Times cited : (48)

References (26)
  • 1
    • 0002367970 scopus 로고
    • Exact categories
    • Springer
    • Barr M. Exact categories. Lecture Notes in Math. vol. 236 (1971), Springer 1-120
    • (1971) Lecture Notes in Math. , vol.236 , pp. 1-120
    • Barr, M.1
  • 2
    • 0038251150 scopus 로고
    • Handbook of Categorical Algebra, vol. 2
    • Cambridge Univ. Press
    • Borceux F. Handbook of Categorical Algebra, vol. 2. Encyclopedia Math. Appl. vol. 51 (1994), Cambridge Univ. Press
    • (1994) Encyclopedia Math. Appl. , vol.51
    • Borceux, F.1
  • 3
    • 10644282539 scopus 로고    scopus 로고
    • Mal'cev, Protomodular, Homological and Semi-Abelian Categories
    • Kluwer Academic
    • Borceux F., and Bourn D. Mal'cev, Protomodular, Homological and Semi-Abelian Categories. Math. Appl. vol. 566 (2004), Kluwer Academic
    • (2004) Math. Appl. , vol.566
    • Borceux, F.1    Bourn, D.2
  • 4
    • 6944221225 scopus 로고    scopus 로고
    • Topological semi-abelian algebras
    • Borceux F., and Clementino M.M. Topological semi-abelian algebras. Adv. Math. 190 (2005) 425-453
    • (2005) Adv. Math. , vol.190 , pp. 425-453
    • Borceux, F.1    Clementino, M.M.2
  • 6
    • 0041575996 scopus 로고
    • The shift functor and the comprehensive factorization for internal groupoids
    • Bourn D. The shift functor and the comprehensive factorization for internal groupoids. Cah. Topol. Géom. Differ. Catég. 28 (1987) 197-226
    • (1987) Cah. Topol. Géom. Differ. Catég. , vol.28 , pp. 197-226
    • Bourn, D.1
  • 7
    • 0001007733 scopus 로고
    • Normalization equivalence, kernel equivalence and affine categories
    • Springer
    • Bourn D. Normalization equivalence, kernel equivalence and affine categories. Lecture Notes in Math. vol. 1488 (1991), Springer 43-62
    • (1991) Lecture Notes in Math. , vol.1488 , pp. 43-62
    • Bourn, D.1
  • 8
    • 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
  • 9
    • 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
  • 10
    • 32144457265 scopus 로고    scopus 로고
    • Commutator theory in regular Mal'cev categories
    • Bourn D. Commutator theory in regular Mal'cev categories. Fields Inst. Commun. 43 (2004) 61-75
    • (2004) Fields Inst. Commun. , vol.43 , pp. 61-75
    • Bourn, D.1
  • 11
    • 32144443290 scopus 로고    scopus 로고
    • Normal subobjects of topological groups and of topological semi-abelian algebras
    • Bourn D. Normal subobjects of topological groups and of topological semi-abelian algebras. Topology Appl. 153 8 (2006) 1341-1364
    • (2006) Topology Appl. , vol.153 , Issue.8 , pp. 1341-1364
    • Bourn, D.1
  • 12
    • 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
  • 13
    • 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
  • 14
    • 49349129184 scopus 로고
    • G-groupoids, crossed modules and the fundamental groupoid of a topological group
    • Brown R., and Spencer C. G-groupoids, crossed modules and the fundamental groupoid of a topological group. Proc. Konn. Ned. Akad. Wet. 79 (1976) 296-302
    • (1976) Proc. Konn. Ned. Akad. Wet. , vol.79 , pp. 296-302
    • Brown, R.1    Spencer, C.2
  • 17
    • 84974201299 scopus 로고
    • Reflective subcategories, localizations and factorizations systems
    • Cassidy C., Hebert M., and Kelly G.M. Reflective subcategories, localizations and factorizations systems. J. Aust. Math. Soc. 38 (1985) 287-329
    • (1985) J. Aust. Math. Soc. , vol.38 , pp. 287-329
    • Cassidy, C.1    Hebert, M.2    Kelly, G.M.3
  • 18
    • 33748699561 scopus 로고    scopus 로고
    • Torsion theories and radicals in normal categories
    • Clementino M.M., Dikranjan D., and Tholen W. Torsion theories and radicals in normal categories. J. Algebra 305 1 (2006) 98-129
    • (2006) J. Algebra , vol.305 , Issue.1 , pp. 98-129
    • Clementino, M.M.1    Dikranjan, D.2    Tholen, W.3
  • 19
    • 0037819490 scopus 로고
    • Categorical Structure of Closure Operator. With Applications to Topology, Algebra and Discrete Mathematics
    • Kluwer Academic
    • Dikranjan D., and Tholen W. Categorical Structure of Closure Operator. With Applications to Topology, Algebra and Discrete Mathematics. Math. Appl. vol. 346 (1995), Kluwer Academic
    • (1995) Math. Appl. , vol.346
    • Dikranjan, D.1    Tholen, W.2
  • 20
    • 0001578726 scopus 로고
    • Baer-invariants of algebras
    • Frölich A. Baer-invariants of algebras. Trans. Amer. Math. Soc. 109 (1963) 221-244
    • (1963) Trans. Amer. Math. Soc. , vol.109 , pp. 221-244
    • Frölich, A.1
  • 21
    • 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
  • 22
    • 0002386853 scopus 로고
    • Relative nilpotent groups
    • Categorical Aspects of Topology and Analysis, Springer
    • Hilton P. Relative nilpotent groups. Categorical Aspects of Topology and Analysis. Lecture Notes in Math. vol. 915 (1982), Springer 136-147
    • (1982) Lecture Notes in Math. , vol.915 , pp. 136-147
    • Hilton, P.1
  • 23
    • 12944275001 scopus 로고    scopus 로고
    • Internal crossed modules
    • Janelidze G. Internal crossed modules. Georgian Math. J. 10 1 (2003) 99-114
    • (2003) Georgian Math. J. , vol.10 , Issue.1 , pp. 99-114
    • Janelidze, G.1
  • 24
    • 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
  • 26
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.