@article{RSMUP_1999__101__39_0,
author = {Gnani, Giuliana and Mazzanti, Giuliano},
title = {A note on the fixed point for the polynomials of a boolean algebra with an operator of endomorphism},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
pages = {39--49},
year = {1999},
publisher = {Seminario Matematico of the University of Padua},
volume = {101},
mrnumber = {1705278},
zbl = {0938.06012},
language = {en},
url = {https://www.numdam.org/item/RSMUP_1999__101__39_0/}
}
TY - JOUR AU - Gnani, Giuliana AU - Mazzanti, Giuliano TI - A note on the fixed point for the polynomials of a boolean algebra with an operator of endomorphism JO - Rendiconti del Seminario Matematico della Università di Padova PY - 1999 SP - 39 EP - 49 VL - 101 PB - Seminario Matematico of the University of Padua UR - https://www.numdam.org/item/RSMUP_1999__101__39_0/ LA - en ID - RSMUP_1999__101__39_0 ER -
%0 Journal Article %A Gnani, Giuliana %A Mazzanti, Giuliano %T A note on the fixed point for the polynomials of a boolean algebra with an operator of endomorphism %J Rendiconti del Seminario Matematico della Università di Padova %D 1999 %P 39-49 %V 101 %I Seminario Matematico of the University of Padua %U https://www.numdam.org/item/RSMUP_1999__101__39_0/ %G en %F RSMUP_1999__101__39_0
Gnani, Giuliana; Mazzanti, Giuliano. A note on the fixed point for the polynomials of a boolean algebra with an operator of endomorphism. Rendiconti del Seminario Matematico della Università di Padova, Tome 101 (1999), pp. 39-49. https://www.numdam.org/item/RSMUP_1999__101__39_0/
[1] , The uniqueness of the fixed point in every diagonalizable algebra, Studia Logica, 35 (1976), pp. 335-343. | Zbl | MR
[2] , The lattice of modal logics: an algebraic investigation, J. Symbolic Logic, 45, no. 2 (1980), pp. 221-236. | Zbl | MR
[3] Logic of Provability, Cambridge University Press (1993). | Zbl | MR
[4] - , A Course in Universal Algebra, Springer-Verlag, New York (1981). | Zbl | MR
[5] , Formal consistency proofs and interpretability theories, Dissertation, Berkeley (1957).
[6] - , An axiomatic approach to self-referential truth, Ann. Pure Appl. Logic, 33 (1987), pp. 1-21. | Zbl | MR
[7] , A system of complete and consistent truth, Notre Dame Journal Of Formal Logic, Vol. 35, no. 3 (1984), pp. 311-327. | Zbl | MR
[8] , Algebraic Logic, Chelsea, New York (1962). | Zbl | MR
[9] , Finite fixed point algebras are subdiagonalisable, Algebra Universalis, vol. 25 (1988), pp. 210-222. | Zbl | MR
[10] - , Boolean algebras with operators. Part I, Amer. J. Math., vol. 73 (1951), pp. 891-939. | Zbl | MR
[11] - , Boolean algebras with operators. Part II, Amer. J. Math., vol. 74 (1952), pp. 127-162. | Zbl | MR
[12] , The diagonalizable algebras, Boll. Un. Mat. Ital., (4) 12, suppl. fasc. 3 (1975), pp. 117-125. | Zbl | MR
[13] , The diagonalizable algebras, Rapporto matematico, n. 107 (1984), Dip. Mat. Siena.
[14] , A Completeness results for fixed-point algebras, Z. Math. Logik Grundlag, Math., 30 (1984), no. 6, pp. 525-532. | Zbl | MR
[15] , Algebraizations of quantifier Logics: an introductory overview, Studia Logica, 50 (1991), pp. 445-556. | Zbl | MR
[16] , An effective fixed-point theorem in intuitionistic diagonalizable algebras, Studia Logica, 35 (1976), pp. 345-361. | Zbl | MR
[17] , Fixed point algebras, Bull. Of The Amer. Math. Soc., 6 (1982), pp. 317-356. | Zbl | MR
[18] , Self-reference and modal logic, Universitext, Springer-Verlag (1985). | Zbl | MR
[19] , Provability interpretations of modal logics, Israel Journal Of Mat., 25 (1976), pp. 287-304. | Zbl | MR
[20] , Fixed points of endomorphisms, Algebra Universalis, vol. 2 (1972), pp. 74-76. | Zbl | MR
[21] , A lattice theoretical fixed-point theorem and applications, Pacific J. Math., 5 (1955), pp. 285-309. | Zbl | MR
[22] , Sulla varietà di algebre con una buona teoria degli ideali, Boll. Un. Mat. Ital., (4) 6 (1972), pp. 90-95. | Zbl | MR





