| Title:
|
Ideal extensions of graph algebras (English) |
| Author:
|
Čipková, Karla |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
933-947 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\mathcal A$ and $\mathcal B$ be graph algebras. In this paper we present the notion of an ideal in a graph algebra and prove that an ideal extension of $\mathcal A$ by $\mathcal B$ always exists. We describe (up to isomorphism) all such extensions. (English) |
| Keyword:
|
oriented graph |
| Keyword:
|
graph (Shallon) algebra |
| Keyword:
|
congruence relation |
| Keyword:
|
ideal |
| Keyword:
|
quotient graph algebra |
| Keyword:
|
ideal extension |
| MSC:
|
08A30 |
| idZBL:
|
Zbl 1164.08300 |
| idMR:
|
MR2261665 |
| . |
| Date available:
|
2009-09-24T11:39:49Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128118 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
[10] R. Pöschel: Graph algebras and graph varieties.Algebra Universalis 27 (1990), 559–577. MR 1387902, 10.1007/BF01189000 |
| Reference:
|
[11] R. Pöschel: Shallon algebras and varieties for graphs and relational systems.Algebra und Graphentheorie (Jahrestagung Algebra und Grenzgebiete), Bergakademie Freiberg, Section Math., Siebenlehn, 1986, pp. 53–56. |
| Reference:
|
[12] C. R. Shallon: Nonfinitely based finite algebras derived from lattices.PhD. Dissertation, U.C.L.A, 1979. |
| . |
