Cardinal arithmetic of a certain class of monounary algebras

Jiří Novotný

Časopis pro pěstování matematiky (1986)

  • Volume: 111, Issue: 4, page 384-393
  • ISSN: 0528-2195

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Novotný, Jiří. "Cardinal arithmetic of a certain class of monounary algebras." Časopis pro pěstování matematiky 111.4 (1986): 384-393. <http://eudml.org/doc/21652>.

@article{Novotný1986,
author = {Novotný, Jiří},
journal = {Časopis pro pěstování matematiky},
keywords = {cardinal arithmetic; cardinal sum; cardinal product; cardinal power; monounary algebras},
language = {eng},
number = {4},
pages = {384-393},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Cardinal arithmetic of a certain class of monounary algebras},
url = {http://eudml.org/doc/21652},
volume = {111},
year = {1986},
}

TY - JOUR
AU - Novotný, Jiří
TI - Cardinal arithmetic of a certain class of monounary algebras
JO - Časopis pro pěstování matematiky
PY - 1986
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 111
IS - 4
SP - 384
EP - 393
LA - eng
KW - cardinal arithmetic; cardinal sum; cardinal product; cardinal power; monounary algebras
UR - http://eudml.org/doc/21652
ER -

References

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  1. G. Birkhoff, Lattice Theory, rev. ed. New York 1948. (1948) Zbl0033.10103MR0029876
  2. G. Birkhoff, Extended arithmetic, Duke Math. J. 3 (1937), 312-316. (1937) Zbl0016.38702MR1545989
  3. K. Birkhoff, Generalized arithmetic, Duke Math. J. 9 (1942), 283 - 302. (1942) Zbl0060.12609MR0007031
  4. M. Novotný, Über gewisse Eigenschaften von Kardinaloperationen, Spisy Přírod. Fak. Univ. Brno, No 418 (1960), 465-484. (1960) MR0133241
  5. E. Fuchs, Isomorphismus der Kardinalpotenzen, Arch. Math. Brno, 1 (1965), 83-93. (1965) Zbl0132.26002MR0197360
  6. M. Novotný, Über Isomorphismen gewisser Kardinalpotenzen, Ann. Mat. Pura Appl., (4) 54 (1961), 301-310. (1961) MR0131987
  7. B. Jónsson R. McKenzie, Powers of partially ordered sets: Cancellation and refinement properties, Math. Scand. 51 (1982), 87-220. (1982) MR0681261
  8. B. Jónsson, The aritmetic of ordered sets, In: Ordered sets (ed. I. Rival), 3-41, D. Reidel Publishing Company, Dordrecht 1982. (1982) MR0661290
  9. A. Tarski, Cardinal Algebras, New York 1949. (1949) Zbl0041.34502
  10. J. C. Marica S. J. Bryant, Unary algebras, Pac. Math. J., 10 (I960), 1347-1359. MR0118692
  11. M. Simerský, Arithmetic of monounary algebras, (Czech), Thesis, Brno 1979. (1979) 
  12. J. Hyman, Automorphisms of 1-unary algebras I, Algebra Univ. 4 (1974), No 1, 61 - 77. (1974) MR0369218
  13. J. Hyman J. B. Nation, Automorphisms of 1-unary algebras II., ibid, 127-131. MR0369219
  14. B. Jónsson, Topics in Universal Algebra, Lecture Notes Math. 250, Berlin, Springer 1972. (1972) MR0345895
  15. K. Kuratowski A. Mostowski, Set Theory, Amsterdam 1967. (1967) MR0229526

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