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Article

Title: Boolean transformations with unique fixed points (English)
Author: Rudeanu, Sergiu
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 57
Issue: 1
Year: 2007
Pages: 1-9
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Category: math
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MSC: 06E30
idZBL: Zbl 1199.06055
idMR: MR2357803
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Date available: 2009-09-25T14:35:50Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136937
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Reference: [1] BROWN F. M.-RUDEANU S.: Consequences, consistency and independence in Boolean algebras.Notre Dame J. Formal Logic 22 (1981), 45-62. Zbl 0423.03057, MR 0603756
Reference: [2] CHILEZAN C.: Some fixed point theorems in Boolean algebra.Publ. Inst. Math. (Beograd) 28(42) (1980), 77-82. MR 0641004
Reference: [3] LÖWENHEIM L.: Gebietdeterminanten.Math. Ann. 79 (1919), 222-236.
Reference: [4] PARKER W. L.-BERNSTEIN B. A.: On uniquely solvable Boolean equations.Univ. Calif. Publ. Math. NS 3(1) (1955), 1-29. MR 0068520
Reference: [5] ROUCHE N.: Some properties of Boolean equations.IRE Trans. Electronic Comput. EC-7 (1958), 291-298.
Reference: [6] RUDEANU S.: Boolean Functions and Equations.North-Holland, Amsterdam, 1974. Zbl 0321.06013, MR 0484821
Reference: [7] RUDEANU S.: On the range of a Boolean transformation.Publ. Inst. Math. (Beograd) 19 (33) (1975), 139-144. Zbl 0326.02043, MR 0411853
Reference: [8] RUDEANU S.: Injectivity domains of Boolean transformations.Rev. Roumaine Math. Pures Appl. 23 (1978), 113-119. Zbl 0377.02035, MR 0491433
Reference: [9] RUDEANU S.: Fixpoints of lattice and Boolean transformations.An. String Univ. Al. I. Cuza Iasi. Mat. 26 (1980), 147-153. MR 0582479
Reference: [10] RUDEANU S.: Lattice Functions and Equations.Springer-Verlag, London, 2001. Zbl 0984.06001, MR 1902657
Reference: [11] WHITEHEAD A. N: Memoir on the algebra of symbolic logic.Amer. J. Math. 23 (1901), 297-316. MR 1505869
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