| Title:
|
Subalgebra extensions of partial monounary algebras (English) |
| Author:
|
Jakubíková-Studenovská, Danica |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
845-855 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
For a subalgebra ${\mathcal B}$ of a partial monounary algebra ${\mathcal A}$ we define the quotient partial monounary algebra ${\mathcal A}/{\mathcal B}$. Let ${\mathcal B}$, ${\mathcal C}$ be partial monounary algebras. In this paper we give a construction of all partial monounary algebras ${\mathcal A}$ such that ${\mathcal B}$ is a subalgebra of ${\mathcal A}$ and ${\mathcal C}\cong {\mathcal A}/{\mathcal B}$. (English) |
| Keyword:
|
partial monounary algebra |
| Keyword:
|
subalgebra |
| Keyword:
|
congruence |
| Keyword:
|
quotient algebra |
| Keyword:
|
subalgebra extension |
| Keyword:
|
ideal |
| Keyword:
|
ideal extension |
| MSC:
|
08A55 |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 1164.08305 |
| idMR:
|
MR2261657 |
| . |
| Date available:
|
2009-09-24T11:38:37Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128110 |
| . |
| Reference:
|
[1] A. H. Clifford: Extensions of semigroup.Trans. Amer. Math. Soc. 68 (1950), 165–173. MR 0033836, 10.1090/S0002-9947-1950-0033836-2 |
| Reference:
|
[2] A. J. Hulin: Extensions of ordered semigroup.Czechoslovak Math. J. 26 (1976), 1–12. MR 0392740 |
| Reference:
|
[3] B. Jónsson: Topics in universal algebra.Springer-Verlag, Berlin, 1972. MR 0345895 |
| Reference:
|
[4] N. Kehayopulu and P. Kiriakuli: The ideal extension of lattices.Simon Stevin 64 (1990), 51–60. MR 1072483 |
| Reference:
|
[5] N. Kehayopulu and M. Tsingelis: The ideal extensions of ordered semigroups.Comm. Algebra 31 (2003), 4939–4969. MR 1998037, 10.1081/AGB-120023141 |
| Reference:
|
[6] J. Martinez: Torsion theory of lattice ordered groups.Czechoslovak Math. J. 25 (1975), 284–299. MR 0389705 |
| Reference:
|
[7] M. Novotný: Mono-unary algebras in the work of Czechoslovak mathematicians.Arch. Math. Brno 26 (1990), 155–164. MR 1188275 |
| . |
