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 |
. |
Category:
|
math |
. |
MSC:
|
06E30 |
idZBL:
|
Zbl 1199.06055 |
idMR:
|
MR2357803 |
. |
Date available:
|
2009-09-25T14:35:50Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136937 |
. |
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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