T -algebras of the monad L -Fuzz

Joachim Machner

Czechoslovak Mathematical Journal (1985)

  • Volume: 35, Issue: 4, page 515-528
  • ISSN: 0011-4642

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Machner, Joachim. "$T$-algebras of the monad $L$-Fuzz." Czechoslovak Mathematical Journal 35.4 (1985): 515-528. <http://eudml.org/doc/13538>.

@article{Machner1985,
author = {Machner, Joachim},
journal = {Czechoslovak Mathematical Journal},
keywords = {Kleisli category; fuzzy sets; Galois connection; monad; brouwerian lattice; Galois correspondence; T-algebra; complete lattice},
language = {eng},
number = {4},
pages = {515-528},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$T$-algebras of the monad $L$-Fuzz},
url = {http://eudml.org/doc/13538},
volume = {35},
year = {1985},
}

TY - JOUR
AU - Machner, Joachim
TI - $T$-algebras of the monad $L$-Fuzz
JO - Czechoslovak Mathematical Journal
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 4
SP - 515
EP - 528
LA - eng
KW - Kleisli category; fuzzy sets; Galois connection; monad; brouwerian lattice; Galois correspondence; T-algebra; complete lattice
UR - http://eudml.org/doc/13538
ER -

References

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  1. Arbib M., Manes E., 10.1017/S0004972700024412, Bull. Austral. Math. Soc. 13 (1975). (1975) Zbl0318.18008MR0407106DOI10.1017/S0004972700024412
  2. Arbib M., Manes E., Arrows, Structures and Functors, Acad. Press N.Y. 1975. (1975) Zbl0374.18001MR0364383
  3. Mac Lane S., Categories for the Working Mathematician, Springer-Verlag N.Y.- Heidelberg-Berlin 1971. (1971) Zbl0232.18001MR0354798
  4. Grätzer G., General Lattice Theory, Akad. Verlag Berlin 1978. (1978) MR0504338
  5. Manes E., Algebraic Theories, Springer-Verlag, N.Y.- Heidelberg-Berlin 1976. (1976) Zbl0353.18007MR0419557
  6. Kleisli H., 10.1090/S0002-9939-1965-0177024-4, Proc. Amer. Math. Soc. 16 (1965). (1965) Zbl0138.01704MR0177024DOI10.1090/S0002-9939-1965-0177024-4
  7. Eilenberg S., Moore J. C, Adjoint functors and triples, Ill. J. Math. 9 (1965). (1965) Zbl0135.02103MR0184984
  8. Zadeh L. A., 10.1016/S0019-9958(65)90241-X, Inf. Contr. 8 (1965). (1965) Zbl0139.24606MR0219427DOI10.1016/S0019-9958(65)90241-X
  9. De Luca A., Termini S., Algebraic properties of fuzzy sets, J. Math. Anal. Appl. 40 (1972). (1972) Zbl0239.02028MR0327588
  10. Shmuely Z., The structure of Galois connections, Pazif. J. Math. 54 (1974). (1974) Zbl0275.06003MR0376455
  11. Rasiowa H., Sikorski R., The Mathematics of Metamathematics, Warszawa 1970. (1970) MR0344067

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