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Volumn 25, Issue , 2011, Pages 368-393

On involutive monoidal categories

Author keywords

Balances; Braidings; Coherence theorems; Dagger pivotal categories; Involutive monoidal categories

Indexed keywords


EID: 80053047991     PISSN: 1201561X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (24)
  • 1
    • 0029637515 scopus 로고
    • Nonsymmetric *-autonomous categories
    • doi:10.1016/0304-3975(94)00089-2. [Bar95]
    • [Bar95] Michael Barr. Nonsymmetric *-autonomous categories. Theoret. Comput. Sci., 139(1-2):115-130, 1995. doi:10.1016/0304-3975(94)00089-2.
    • (1995) Theoret. Comput. Sci , vol.139 , Issue.1-2 , pp. 115-130
    • Barr, M.1
  • 2
    • 34250642692 scopus 로고
    • Algèbre élémentaire dans les catégories avec multiplication
    • [Bén64]
    • [Bén64] Jean Bénabou. Algèbre élémentaire dans les catégories avec multiplication. C. R. Acad. Sci. Paris, 258:771-774, 1964.
    • (1964) C. R. Acad. Sci. Paris , vol.258 , pp. 771-774
    • Bénabou, J.1
  • 3
    • 0002831987 scopus 로고
    • Introduction to bicategories
    • In, Springer, Berlin, [Bén67]
    • [Bén67] Jean Bénabou. Introduction to bicategories. In Reports of the Midwest Category Seminar, pages 1-77. Springer, Berlin, 1967.
    • (1967) Reports of the Midwest Category Seminar , pp. 1-77
    • Bénabou, J.1
  • 4
    • 18444394583 scopus 로고    scopus 로고
    • Entropic Hopf algebras and models of non-commutative logic
    • (electronic), [BLR02]
    • [BLR02] Richard F. Blute, François Lamarche, and Paul Ruet. Entropic Hopf algebras and models of non-commutative logic. Theory Appl. Categ., 10:No. 17, 424-460 (electronic), 2002.
    • (2002) Theory Appl. Categ , vol.10 , Issue.17 , pp. 424-460
    • Blute, R.F.1    Lamarche, F.2    Ruet, P.3
  • 5
    • 67349210039 scopus 로고    scopus 로고
    • Bar categories and star operations
    • doi:10.1007/s10468-009-9141-x. [BM09]
    • [BM09] E. J. Beggs and S. Majid. Bar categories and star operations. Algebr. Represent. Theory, 12(2-5):103-152, 2009. doi:10.1007/s10468-009-9141-x.
    • (2009) Algebr. Represent. Theory , vol.12 , Issue.2-5 , pp. 103-152
    • Beggs, E.J.1    Majid, S.2
  • 6
    • 0002443920 scopus 로고    scopus 로고
    • Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories
    • (electronic), [CS97a]
    • [CS97a] J. R. B. Cockett and R. A. G. Seely. Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories. Theory Appl. Categ., 3:No. 5, 85-131 (electronic), 1997.
    • (1997) Theory Appl. Categ , vol.3 , Issue.5 , pp. 85-131
    • Cockett, J.R.B.1    Seely, R.A.G.2
  • 7
    • 0031566124 scopus 로고    scopus 로고
    • Weakly distributive categories
    • [CS97b]
    • [CS97b] J. R. B. Cockett and R. A. G. Seely. Weakly distributive categories. J. Pure Appl. Algebra, 114(2):133-173, 1997.
    • (1997) J. Pure Appl. Algebra , vol.114 , Issue.2 , pp. 133-173
    • Cockett, J.R.B.1    Seely, R.A.G.2
  • 8
    • 77952917445 scopus 로고    scopus 로고
    • The Frobenius relations meet linear distributivity
    • [Egg10]
    • [Egg10] J. M. Egger. The Frobenius relations meet linear distributivity. Theory Appl. Categ., 24:No. 2, 25-38, 2010. http://www.tac.mta.ca/tac/volumes/24/2/24-02abs.html.
    • (2010) Theory Appl. Categ , vol.24 , Issue.2 , pp. 25-38
    • Egger, J.M.1
  • 11
    • 53149150619 scopus 로고    scopus 로고
    • Involutive and relational quantaloids
    • doi:10.1007/BF02465588. [Gyl99]
    • [Gyl99] R. P. Gylys. Involutive and relational quantaloids. Liet. Mat. Rink., 39(4):475-492, 1999. doi:10.1007/BF02465588.
    • (1999) Liet. Mat. Rink , vol.39 , Issue.4 , pp. 475-492
    • Gylys, R.P.1
  • 12
    • 80053007693 scopus 로고    scopus 로고
    • Involutive categories and monoids, with a GNS-correspondence
    • [Jac10]
    • [Jac10] Bart Jacobs. Involutive categories and monoids, with a GNS-correspondence. 7th workshop on Quantum Physics and Logic (QPL 2010), 2010. http://www.cs.ru.nl/B.Jacobs/PAPERS/invcatmon-qpl10.pdf.
    • (2010) 7th workshop on Quantum Physics and Logic (QPL 2010)
    • Jacobs, B.1
  • 13
    • 44949283969 scopus 로고
    • The geometry of tensor calculus. I
    • doi:10.1016/0001-8708(91)90003-P. [JS91]
    • [JS91] André Joyal and Ross Street. The geometry of tensor calculus. I. Adv. Math., 88(1):55-112, 1991. doi:10.1016/0001-8708(91)90003-P.
    • (1991) Adv. Math , vol.88 , Issue.1 , pp. 55-112
    • Joyal, A.1    Street, R.2
  • 14
    • 43949173985 scopus 로고
    • Braided tensor categories
    • doi:10.1006/aima.1993.1055. [JS93]
    • [JS93] André Joyal and Ross Street. Braided tensor categories. Adv. Math., 102(1):20-78, 1993. doi:10.1006/aima.1993.1055.
    • (1993) Adv. Math , vol.102 , Issue.1 , pp. 20-78
    • Joyal, A.1    Street, R.2
  • 15
    • 0242443822 scopus 로고    scopus 로고
    • On quantales and spectra of C-algebras
    • doi:10.1023/A:1026106305210. [KPRR03]
    • [KPRR03] David Kruml, Joan Wick Pelletier, Pedro Resende, and Jivŕk Rosický. On quantales and spectra of C-algebras. Appl. Categ. Structures, 11(6):543-560, 2003. doi:10.1023/A:1026106305210.
    • (2003) Appl. Categ. Structures , vol.11 , Issue.6 , pp. 543-560
    • Kruml, D.1    Pelletier, J.W.2    Resende, P.3    Rosický, J.4
  • 16
    • 84971193965 scopus 로고
    • Some remarks on symmetry for a monoidal category
    • doi:10.1017/S0004972700007061. [KR81]
    • [KR81] Stefano Kasangian and Fabio Rossi. Some remarks on symmetry for a monoidal category. Bull. Austral. Math. Soc., 23(2):209-214, 1981. doi:10.1017/S0004972700007061.
    • (1981) Bull. Austral. Math. Soc , vol.23 , Issue.2 , pp. 209-214
    • Kasangian, S.1    Rossi, F.2
  • 17
    • 0002227379 scopus 로고
    • Ordinal sums and equational doctrines
    • In, (ETH, Zürich, 1966/67), Springer, Berlin, [Law69]
    • [Law69] F. William Lawvere. Ordinal sums and equational doctrines. In Sem. on Triples and Categorical Homology Theory (ETH, Zürich, 1966/67), pages 141-155. Springer, Berlin, 1969.
    • (1969) Sem. on Triples and Categorical Homology Theory , pp. 141-155
    • Lawvere, F.W.1
  • 18
    • 0003146836 scopus 로고
    • Natural associativity and commutativity
    • [ML63]
    • [ML63] Saunders Mac Lane. Natural associativity and commutativity. Rice Univ. Studies, 49(4):28-46, 1963.
    • (1963) Rice Univ. Studies , vol.49 , Issue.4 , pp. 28-46
    • McLane, S.1
  • 20
    • 0037044685 scopus 로고    scopus 로고
    • On the quantisation of spaces
    • Special volume celebrating the 70th birthday of Professor Max Kelly. doi:10.1016/S0022-4049(02)00139-1. [MP02]
    • [MP02] Christopher J. Mulvey and JoanWick Pelletier. On the quantisation of spaces. J. Pure Appl. Algebra, 175(1-3):289-325, 2002. Special volume celebrating the 70th birthday of Professor Max Kelly. doi:10.1016/S0022-4049(02)00139-1.
    • (2002) J. Pure Appl. Algebra , vol.175 , Issue.1-3 , pp. 289-325
    • Mulvey, C.J.1    Pelletier, J.2
  • 22
    • 80052996131 scopus 로고    scopus 로고
    • Re: Set as a monoidal category
    • 14 August, [Sel08]
    • [Sel08] Peter Selinger. Re: Set as a monoidal category. Posting on categories mailing list, 14 August 2008. http://permalink.gmane.org/gmane.science.mathematics.categories/4477.
    • (2008) Posting on categories mailing list
    • Selinger, P.1
  • 24
    • 84877943321 scopus 로고    scopus 로고
    • Autonomous categories in which A = A (extended ab-stract)
    • [Sel10]
    • [Sel10] Peter Selinger. Autonomous categories in which A = A (extended ab-stract). 7th workshop on Quantum Physics and Logic (QPL 2010), 2010. http://www.mscs.dal.ca/~selinger/papers/halftwist.pdf.
    • (2010) 7th workshop on Quantum Physics and Logic (QPL 2010)
    • Selinger, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.