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Classification of Subsheaves over GL-Algebras

Published online by Cambridge University Press:  31 March 2017

Ulrich Hőhle
Affiliation:
Bergische Universitat
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '98 , pp. 238 - 261
Publisher: Cambridge University Press
Print publication year: 2000

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References

J., Adámek, H., Herrlich and G., E. Strecker, Abstract and Concrete Categories (John Wiley & Sons, New York 1990).
M.A., Arbib and e.g. Manes, Arrows, Structures and Functors. The Categorical Imperative (Academic Press, New York 1975).
L.P., Belluce, Semisimple and completeMV-algebras, Algebra Universalis 29 (1992), 1–9.Google Scholar
R., Cignoli and D., Mundici, An invitation to Chang's MV-algebras, in: Advances in Algebra and Model Theory, (eds. M., Droste, R., Goebel), 171–197 (Gordon and Breach Publishing Group, Reading (UK) 1997).
J., Coulon, J.-L., Coulon and U., Höhle, Classification of extremal subobjects of algebras over SM-SET, in: Applications of Category Theory to Fuzzy Subsets (eds. S.E., Rodabaugh et al.), 9–31 (Kluwer Academic Publishers, Dordrecht, Boston, 1992).
M., Fourman and D.S., Scott, Sheaves and logic, in: Applications of Sheaves, Lecture Notes in Mathematics 753, 302–401 (Springer-Verlag, Berlin, New York 1979).
R., Goldblatt, Topoi: TheCategorial Analysis of Logic (North-Holland, Amsterdam 1979).
D., Higgs, A category approach to Boolean-valued set theory (Preprint, Waterloo 1973).
U., Höhle, Monoidalclosed categories, weak topoi and generalized logics, Fuzzy Sets and Systems 42 (1991), 15–35.
U., Höhle, M-Valued sets and sheaves over integral, commutative cl-monoids, in : Applications of Category Theory to Fuzzy Subsets (eds. S.E., Rodabaugh et al.), 33–72 (Kluwer Academic Publishers, Dordrecht, Boston, 1992).
U., Höhle, Commutative, residuated l-monoids, in: Non-Classical Logics and Their Applications to Fuzzy Subsets (eds. U., Höhle and E.P., Klement), 53–106 (Kluwer Academic Publishers, Dordrecht, Boston, 1995).
U., Höhle, Presheaves over GL-monoids, in: Non-Classical Logics and Their Applications to Fuzzy Subsets (eds. U., Höhle and E.P., Klement), 127–157 (Kluwer Academic Publishers, Dordrecht, New York 1995). e.g. Manes, Algebraic Theories (Springer-Verlag, Berlin, New York 1976).
H., Schubert, Categories (Springer-Verlag, Berlin, New York 1972).
A., Mostowski, Proofs of non-deducibility in intuitionistic functional calculus, J. Symbolic Logic 13 (1948), 204–207.Google Scholar
H., Rasiowa and R., Sikorski, The Mathematics of Metamathematics, third edition (Polish Scientific Publishers, Warszawa 1970).
D.S., Scott, Identity and existence in intuitionistic logic, in: Applications of Sheaves, Lecture Notes in Mathematics 753, 660–696 (Springer-Verlag, Berlin, New York 1979).
K.I., Rosenthal, Quantales and TheirApplications, PitmanResearchNotes in Mathematics 234 (Longman, Burnt Mill, Harlow 1990).

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