Standard monads

Joachim Machner

Archivum Mathematicum (1987)

  • Volume: 023, Issue: 2, page 77-88
  • ISSN: 0044-8753

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Machner, Joachim. "Standard monads." Archivum Mathematicum 023.2 (1987): 77-88. <http://eudml.org/doc/18211>.

@article{Machner1987,
author = {Machner, Joachim},
journal = {Archivum Mathematicum},
keywords = {monad transformation; Kleisli construction; Brouwerian lattice; fuzzification; standard monad; fuzziness; complete lattice ordered semigroup},
language = {eng},
number = {2},
pages = {77-88},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Standard monads},
url = {http://eudml.org/doc/18211},
volume = {023},
year = {1987},
}

TY - JOUR
AU - Machner, Joachim
TI - Standard monads
JO - Archivum Mathematicum
PY - 1987
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 023
IS - 2
SP - 77
EP - 88
LA - eng
KW - monad transformation; Kleisli construction; Brouwerian lattice; fuzzification; standard monad; fuzziness; complete lattice ordered semigroup
UR - http://eudml.org/doc/18211
ER -

References

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  1. M. Arbib E. Manes, Fuzzy Morphisms in Automata Theory, Lect. Notes Comp. Sci. 25 (1975), 80-86. (1975) Zbl0306.18003MR0403839
  2. M. Arbib E. Manes, Machines in a Category: An Expository Introduction, SIAM Rev. 16 (1974), 163-192. (1974) Zbl0288.18005MR0363719
  3. M. Arbib E. Manes, Fuzzy Machines in a Category, Bull. Austra. Math. Soc. 13 (1975). (1975) Zbl0318.18008MR0407106
  4. J. A. Goguen, L-Fuzzy-Sets, J. Math. Anal. Appl. 18 (1967), 145-174. (1967) Zbl0145.24404MR0224391
  5. H. Kleisli, Every standard construction is induced by a pair of adjoint functors, Proc. Amer. Math. Soc. 16 (1965), 544-546. (1965) Zbl0138.01704MR0177024
  6. S. Mac Lane, Categories for the working mathematician, Springer N.Y.-Heidelberg-Berlin, 1971. (1971) Zbl0232.18001MR0354798
  7. E. Manes, Algebraic Theories, Springer N.Y.-Heidelberg-Berlin 1976. (1976) Zbl0353.18007MR0419557
  8. E. S. Santos, Max-product machines, J. Math. Anal. Appl. 37 (1972), 677-686. (1972) Zbl0245.94040MR0307837
  9. L. A. Zadeh, Fuzzy sets, Inf. and Contr. 8 (1965), 338-353. (1965) Zbl0139.24606MR0219427

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