| Title:
|
Median prime ideals of pseudo-complemented distributive lattices (English) |
| Author:
|
Sambasiva Rao, M. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2022 |
| Pages:
|
213-226 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Coherent ideals, strongly coherent ideals, and $\tau $-closed ideals are introduced in pseudo-complemented distributive lattices and their characterization theorems are derived. A set of equivalent conditions is derived for every ideal of a pseudo-complemented distributive lattice to become a coherent ideal. The notion of median prime ideals is introduced and some equivalent conditions are derived for every maximal ideal of a pseudo-complemented distributive lattice to become a median prime ideal which leads to a characterization of Boolean algebras. (English) |
| Keyword:
|
coherent ideal |
| Keyword:
|
strongly coherent ideal |
| Keyword:
|
median prime ideal |
| Keyword:
|
maximal ideal |
| Keyword:
|
Stone lattice |
| Keyword:
|
Boolean algebra |
| MSC:
|
06D99 |
| idZBL:
|
Zbl 07655744 |
| idMR:
|
MR4529814 |
| DOI:
|
10.5817/AM2022-4-213 |
| . |
| Date available:
|
2022-11-28T12:21:13Z |
| Last updated:
|
2023-03-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151148 |
| . |
| 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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| . |
