Skew Ω -sets coincide with Ω -posets

Francis Borceux; Rosanna Cruciani

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1998)

  • Volume: 39, Issue: 3, page 205-220
  • ISSN: 1245-530X

How to cite

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Borceux, Francis, and Cruciani, Rosanna. "Skew $\Omega $-sets coincide with $\Omega $-posets." Cahiers de Topologie et Géométrie Différentielle Catégoriques 39.3 (1998): 205-220. <http://eudml.org/doc/91607>.

@article{Borceux1998,
author = {Borceux, Francis, Cruciani, Rosanna},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {non-commutative locale; sheaves; quantales; symmetry axiom; topos},
language = {eng},
number = {3},
pages = {205-220},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Skew $\Omega $-sets coincide with $\Omega $-posets},
url = {http://eudml.org/doc/91607},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Borceux, Francis
AU - Cruciani, Rosanna
TI - Skew $\Omega $-sets coincide with $\Omega $-posets
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1998
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 39
IS - 3
SP - 205
EP - 220
LA - eng
KW - non-commutative locale; sheaves; quantales; symmetry axiom; topos
UR - http://eudml.org/doc/91607
ER -

References

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  1. [1] U. Berni-Canani, F. Borceux and R. Cruciani, A theory of quantal sets, J. of Pure and Appl. Algebra, 62 (1989) 123-136 Zbl0685.18006MR1027752
  2. [2] F. Borceux and R. Cruciani, A generic representation theorem for non-commutative rings, J. of Algebra, 167-2 (1994) 291-308 Zbl0806.18003MR1283288
  3. [3] F. Borceux, A handbook of categorical algebra, volume 3: categories of sheaves, Cambridge University Press, 1994. Zbl0911.18001MR1315049
  4. [4] D. Higgs, A category approach to boolean-valued set theory, LectureNotes, Waterloo (1973) 
  5. [5] D. Higgs, Injectivity in the topos of complete Heyting valued sets, Can. J. Math., 36-3, 1984, 550-568 Zbl0541.18003MR752984
  6. [6] C.J. Mulvey, &, Rend. Circ. Mat. Palermo, 12 (1986), 99-104 Zbl0633.46065MR853151
  7. [7] K. Rosenthal, Quantales and their applications, Pitman Res.Notes in Math. 234, Longman (1990) Zbl0703.06007MR1088258

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