Boolean transformations with unique fixed points

Sergiu Rudeanu

Mathematica Slovaca (2007)

  • Volume: 57, Issue: 1, page 1-9
  • ISSN: 0232-0525

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Rudeanu, Sergiu. "Boolean transformations with unique fixed points." Mathematica Slovaca 57.1 (2007): 1-9. <http://eudml.org/doc/34629>.

@article{Rudeanu2007,
author = {Rudeanu, Sergiu},
journal = {Mathematica Slovaca},
keywords = {Boolean transformation; fixed point; polynomial function; term function; isotone},
language = {eng},
number = {1},
pages = {1-9},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Boolean transformations with unique fixed points},
url = {http://eudml.org/doc/34629},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Rudeanu, Sergiu
TI - Boolean transformations with unique fixed points
JO - Mathematica Slovaca
PY - 2007
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 57
IS - 1
SP - 1
EP - 9
LA - eng
KW - Boolean transformation; fixed point; polynomial function; term function; isotone
UR - http://eudml.org/doc/34629
ER -

References

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  1. BROWN F. M.-RUDEANU S., Consequences, consistency and independence in Boolean algebras, Notre Dame J. Formal Logic 22 (1981), 45-62. (1981) Zbl0423.03057MR0603756
  2. CHILEZAN C., Some fixed point theorems in Boolean algebra, Publ. Inst. Math. (Beograd) 28(42) (1980), 77-82. (1980) MR0641004
  3. LÖWENHEIM L., Gebietdeterminanten, Math. Ann. 79 (1919), 222-236. (1919) 
  4. PARKER W. L.-BERNSTEIN B. A., On uniquely solvable Boolean equations, Univ. Calif. Publ. Math. NS 3(1) (1955), 1-29. (1955) MR0068520
  5. ROUCHE N., Some properties of Boolean equations, IRE Trans. Electronic Comput. EC-7 (1958), 291-298. (1958) 
  6. RUDEANU S., Boolean Functions and Equations, North-Holland, Amsterdam, 1974. (1974) Zbl0321.06013MR0484821
  7. RUDEANU S., On the range of a Boolean transformation, Publ. Inst. Math. (Beograd) 19 (33) (1975), 139-144. (1975) Zbl0326.02043MR0411853
  8. RUDEANU S., Injectivity domains of Boolean transformations, Rev. Roumaine Math. Pures Appl. 23 (1978), 113-119. (1978) Zbl0377.02035MR0491433
  9. RUDEANU S., Fixpoints of lattice and Boolean transformations, An. String Univ. Al. I. Cuza Iasi. Mat. 26 (1980), 147-153. (1980) MR0582479
  10. RUDEANU S., Lattice Functions and Equations, Springer-Verlag, London, 2001. Zbl0984.06001MR1902657
  11. WHITEHEAD A. N, Memoir on the algebra of symbolic logic, Amer. J. Math. 23 (1901), 297-316. (1901) MR1505869

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