| Title:
|
Basic pseudorings (English) |
| Author:
|
Chajda, Ivan |
| Author:
|
Kolařík, Miroslav |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
25-31 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The concept of a basic pseudoring is introduced. It is shown that every orthomodular lattice can be converted into a basic pseudoring by using of the term operation called Sasaki projection. It is given a mutual relationship between basic algebras and basic pseudorings. There are characterized basic pseudorings which can be converted into othomodular lattices. (English) |
| Keyword:
|
Basic algebra |
| Keyword:
|
basic pseudoring |
| Keyword:
|
orthomodular lattice |
| MSC:
|
03G25 |
| MSC:
|
06C15 |
| MSC:
|
06D35 |
| idZBL:
|
Zbl 1203.06012 |
| idMR:
|
MR2641945 |
| . |
| Date available:
|
2010-02-11T13:54:12Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137513 |
| . |
| 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:
|
[8] Dorninger, D., Länger, H., Maczyński, M.: On ring-like structures occuring in axiomatic quantum mechanics.Sitzungsberichte ÖAW, Math.–Naturw. Kl. Abt. II 206 (1997), 279–289. MR 1632939 |
| Reference:
|
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| Reference:
|
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| . |
