| Title:
|
Monounary algebras with two direct limits (English) |
| Author:
|
Halušková, Emília |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
125 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
485-495 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we describe all algebras $A$ with one unary operation such that by a direct limit construction exactly two nonisomorphic algebras can be obtained from $A$. (English) |
| Keyword:
|
monounary algebra |
| Keyword:
|
direct limit |
| Keyword:
|
endomorphism |
| Keyword:
|
retract |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 0966.08005 |
| idMR:
|
MR1802297 |
| DOI:
|
10.21136/MB.2000.126268 |
| . |
| Date available:
|
2009-09-24T21:46:03Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126268 |
| . |
| Reference:
|
[1] J. Adámek J. Rosický: Locally Presentable and Аccessible Categories.Cambridge University-Press, 1994. MR 1294136 |
| Reference:
|
[2] G. Grätzer: Universal Аlgebra.Springer-Verlag, New York, 1979. MR 0538623 |
| Reference:
|
[3] E. Halušková: On iterated direct limits of a monounary algebra.Contributions to general algebra, 10 (Klagenfurt, 1997). Heyn, Klagenfurt, 1998, pp. 189-195. MR 1648786 |
| Reference:
|
[4] E. Halušková: Direct limits of monounary algebras.Czechoslovak Math. J. 49 (1999), 645-656. MR 1708334, 10.1023/A:1022435806014 |
| Reference:
|
[5] D. Jakubíková-Studenovská: Retract irreducibìlity of connected monounary algebras I, II.Czechoslovak Math. J 46 (1996), 291-307; 47 (1997), 113-126. MR 1388617 |
| Reference:
|
[6] D. Jakubíková-Studenovská: Two types of retract irreducibility of connected monounary algebras.Math. Bohem. 121 (1996), 143-150. MR 1400606 |
| Reference:
|
[7] D. Jakubíková-Studenovská: DR-irreducibility of connected monounary algebras with a cycle.Submitted to Czechoslovak Math. J. MR 1792964 |
| Reference:
|
[8] D. Jakubíková-Studenovská: DR-irreducibility of connected monounary algebras.To appear in Czechoslovak Math. J. MR 1792966 |
| Reference:
|
[9] B. Jónsson: Topics in Universal Аlgebra.Lect. Notes Math. 250, Springer-Verlag, Berlin, 1972. 10.1007/BFb0058648 |
| Reference:
|
[10] M. Novotný: Über Аbbildungen von Mengen.Pacific J. Math. 13 (1963), 1359-1369. 10.2140/pjm.1963.13.1359 |
| . |
