| Title:
|
Cardinal arithmetic of a certain class of monounary algebras (English) |
| Author:
|
Novotný, Jiří |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
111 |
| Issue:
|
4 |
| Year:
|
1986 |
| Pages:
|
384-393 |
| . |
| Category:
|
math |
| . |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 0616.08012 |
| idMR:
|
MR871714 |
| DOI:
|
10.21136/CPM.1986.118286 |
| . |
| Date available:
|
2009-09-23T09:38:49Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118286 |
| . |
| Reference:
|
[1] G. Birkhoff: Lattice Theory.rev. ed. New York 1948. Zbl 0033.10103, MR 0029876 |
| Reference:
|
[2] G. Birkhoff: Extended arithmetic.Duke Math. J. 3 (1937), 312-316. Zbl 0016.38702, MR 1545989 |
| Reference:
|
[3] K. Birkhoff: Generalized arithmetic.Duke Math. J. 9 (1942), 283 - 302. Zbl 0060.12609, MR 0007031 |
| Reference:
|
[4] M. Novotný: Über gewisse Eigenschaften von Kardinaloperationen.Spisy Přírod. Fak. Univ. Brno, No 418 (1960), 465-484. MR 0133241 |
| Reference:
|
[5] E. Fuchs: Isomorphismus der Kardinalpotenzen.Arch. Math. Brno, 1 (1965), 83-93. Zbl 0132.26002, MR 0197360 |
| Reference:
|
[6] M. Novotný: Über Isomorphismen gewisser Kardinalpotenzen.Ann. Mat. Pura Appl., (4) 54 (1961), 301-310. MR 0131987 |
| Reference:
|
[7] B. Jónsson R. McKenzie: Powers of partially ordered sets: Cancellation and refinement properties.Math. Scand. 51 (1982), 87-220. MR 0681261 |
| Reference:
|
[8] B. Jónsson: The aritmetic of ordered sets.In: Ordered sets (ed. I. Rival), 3-41, D. Reidel Publishing Company, Dordrecht 1982. MR 0661290 |
| Reference:
|
[9] A. Tarski: Cardinal Algebras.New York 1949. Zbl 0041.34502 |
| Reference:
|
[10] J. C. Marica S. J. Bryant: Unary algebras.Pac. Math. J., 10 (I960), 1347-1359. MR 0118692 |
| Reference:
|
[11] M. Simerský: Arithmetic of monounary algebras.(Czech), Thesis, Brno 1979. |
| Reference:
|
[12] J. Hyman: Automorphisms of 1-unary algebras I.Algebra Univ. 4 (1974), No 1, 61 - 77. MR 0369218 |
| Reference:
|
[13] J. Hyman J. B. Nation: Automorphisms of 1-unary algebras II..ibid, 127-131. MR 0369219 |
| Reference:
|
[14] B. Jónsson: Topics in Universal Algebra.Lecture Notes Math. 250, Berlin, Springer 1972. MR 0345895 |
| Reference:
|
[15] K. Kuratowski A. Mostowski: Set Theory.Amsterdam 1967. MR 0229526 |
| . |
