Booloïdes

Elie Koudsi; Yves Diers

Diagrammes (1990)

  • Volume: 23, page 15-41
  • ISSN: 0224-3911

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Koudsi, Elie, and Diers, Yves. "Booloïdes." Diagrammes 23 (1990): 15-41. <http://eudml.org/doc/91748>.

@article{Koudsi1990,
author = {Koudsi, Elie, Diers, Yves},
journal = {Diagrammes},
keywords = {non-commutative Boolean algebra; booloids; ideals; filters},
language = {fre},
pages = {15-41},
publisher = {Université Paris 7, Unité d'enseignement et de recherche de mathématiques},
title = {Booloïdes},
url = {http://eudml.org/doc/91748},
volume = {23},
year = {1990},
}

TY - JOUR
AU - Koudsi, Elie
AU - Diers, Yves
TI - Booloïdes
JO - Diagrammes
PY - 1990
PB - Université Paris 7, Unité d'enseignement et de recherche de mathématiques
VL - 23
SP - 15
EP - 41
LA - fre
KW - non-commutative Boolean algebra; booloids; ideals; filters
UR - http://eudml.org/doc/91748
ER -

References

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  1. [1] E. AYRES, Algèbre moderne (Série Schaum), Paris, McGraw-Hill, ( 1983). 
  2. [2] Y. DIERS, Categories of Boolean sheaves of simple Algebras, Lecture Notes in Mathematics 1187, Springer-Verlag, Berlin/ Heidelberg/ New York/ Tokyo ( 1980). Zbl0594.18007MR841523
  3. [3] Y. DIERS, Une description axiomatique des catégories de faisceaux de structures algébriques sur les espaces topologiques booléens, Advances in Mathematics, 47, ( 1983), pp.258-299. Zbl0513.18008MR695043
  4. [4] R. FAURE, E. HEURGON, Structures ordonnées et algèbres de Boole, Paris, Gauthiers-Villars, ( 1971). Zbl0219.06001MR277440
  5. [5] K.H. HOFMANN, Representations of algebras by continuous sections, Bull. Amer. Math. Soc 78, ( 1972), pp. 291-373. Zbl0237.16018MR347915
  6. [6] J.F. KENNISON, Triples and compact sheaf representations, J. Pure. Appl. Algebra 20 ( 1981), pp.13-38. Zbl0457.18011MR596151
  7. [7] J.F. KENNISON, Structure and constructure for strongly regular rings, J. Pure and Appl. Algebra 5 ( 1974), pp.321-332. Zbl0298.18003MR371987
  8. [8] F.W. LAWVERE, Functorial semantics of algebraic theories, Proc. Nat. Acad. Sci. U.S.A. 50 ( 1963), pp.869-873. Zbl0119.25901MR158921
  9. [9] N.H. MacCOY et D. MONTGOMERY, A representation of generalised Boolean rings, Duke Math. J. 3, ( 1937), pp.455-459. MR1546001JFM63.0026.04
  10. [10] J.V. NEUMANN, Regular Rings, Proc. Nat. Acad. Sci. U.S.A. 22 ( 1936), pp.707-713. JFM62.1103.03
  11. [11] N. PERMINGEAT, D. GLAUDE, Algèbre de Boole, Paris, Masson, ( 1988.). MR943831

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