| Title:
|
Reticulation of a 0-distributive Lattice (English) |
| Author:
|
Pawar, Y. S. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
121-128 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A congruence relation $\theta $ on a 0-distributive lattice is defined such that the quotient lattice $L/\theta $ is a distributive lattice and the prime spectrum of $L$ and of $L/\theta $ are homeomorphic. Also it is proved that the minimal prime spectrum (maximal spectrum) of $L$ is homeomorphic with the minimal prime spectrum (maximal spectrum) of $L/\theta $. (English) |
| Keyword:
|
0-distributive lattice |
| Keyword:
|
ideal |
| Keyword:
|
prime ideal |
| Keyword:
|
congruence relation |
| Keyword:
|
prime spectrum |
| Keyword:
|
minimal prime spectrum |
| Keyword:
|
maximal spectrum |
| MSC:
|
06D99 |
| idZBL:
|
Zbl 1347.06015 |
| idMR:
|
MR3468605 |
| . |
| Date available:
|
2015-09-01T09:04:54Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144372 |
| . |
| 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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| . |
