| Title:
|
Ring-like structures derived from $\lambda $-lattices with antitone involutions (English) |
| Author:
|
Chajda, Ivan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
132 |
| Issue:
|
1 |
| Year:
|
2007 |
| Pages:
|
87-96 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Using the concept of the $\lambda $-lattice introduced recently by V. Snášel we define $\lambda $-lattices with antitone involutions. For them we establish a correspondence to ring-like structures similarly as it was done for ortholattices and pseudorings, for Boolean algebras and Boolean rings or for lattices with an antitone involution and the so-called Boolean quasirings. (English) |
| Keyword:
|
$\lambda $-lattice |
| Keyword:
|
$\lambda $-semilattice |
| Keyword:
|
ortholattice |
| Keyword:
|
$\lambda $-ortholattice |
| Keyword:
|
antitone involution |
| Keyword:
|
Boolean quasiring |
| MSC:
|
06A12 |
| MSC:
|
06B99 |
| MSC:
|
06C15 |
| MSC:
|
16Y99 |
| MSC:
|
81P10 |
| idZBL:
|
Zbl 1174.06309 |
| idMR:
|
MR2311756 |
| DOI:
|
10.21136/MB.2007.133992 |
| . |
| Date available:
|
2009-09-24T22:29:38Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133992 |
| . |
| 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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| . |
