| Title:
|
Characterizations of 0-distributive posets (English) |
| Author:
|
Joshi, Vinayak V. |
| Author:
|
Waphare, B. N. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
130 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
73-80 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The concept of a 0-distributive poset is introduced. It is shown that a section semicomplemented poset is distributive if and only if it is 0-distributive. It is also proved that every pseudocomplemented poset is 0-distributive. Further, 0-distributive posets are characterized in terms of their ideal lattices. (English) |
| Keyword:
|
0-distributive |
| Keyword:
|
pseudocomplement |
| Keyword:
|
sectionally semi-complemented poset |
| Keyword:
|
ideal lattice |
| MSC:
|
06A06 |
| MSC:
|
06A11 |
| MSC:
|
06C15 |
| MSC:
|
06C20 |
| MSC:
|
06D15 |
| idZBL:
|
Zbl 1112.06001 |
| idMR:
|
MR2128360 |
| DOI:
|
10.21136/MB.2005.134222 |
| . |
| Date available:
|
2009-09-24T22:18:12Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134222 |
| . |
| 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:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
