| Title:
|
On ideal 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:
|
58 |
| Issue:
|
2 |
| Year:
|
2008 |
| Pages:
|
331-344 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper we introduce the notion of an ideal of a partial monounary algebra. Further, for an ideal $(I,f_I)$ of a partial monounary algebra $(A,f_A)$ we define the quotient partial monounary algebra $(A,f_A)/(I,f_I)$. Let $(X,f_X)$, $(Y,f_Y)$ be partial monounary algebras. We describe all partial monounary algebras $(P,f_P)$ such that $(X,f_X)$ is an ideal of $(P,f_P)$ and $(P,f_P)/(X,f_X)$ is isomorphic to $(Y,f_Y)$. (English) |
| Keyword:
|
partial monounary algebra |
| Keyword:
|
ideal |
| Keyword:
|
congruence |
| Keyword:
|
quotient algebra |
| Keyword:
|
ideal extension |
| MSC:
|
08A55 |
| MSC:
|
08A60 |
| idZBL:
|
Zbl 1174.08300 |
| idMR:
|
MR2411093 |
| . |
| Date available:
|
2009-09-24T11:55:08Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128261 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] D. Jakubíková-Studenovská: Subalgebra extensions of partial monounary algebras.Czech. Math. J. 56(131) (2006), 845–855. MR 2261657, 10.1007/s10587-006-0060-2 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
[7] J. Martinez: Torsion theory of lattice ordered groups.Czech. Math. J. 25(100) (1975), 284–299. MR 0389705 |
| Reference:
|
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| . |
