| Tartalom: |
http://dx.doi.org/10.1007/s11225-006-8300-x |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
The Jónsson-Kiefer Property
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| Létrehozó: |
Adaricheva, K.
Maróti, Miklós
McKenzie, R.
Nation, J. B.
Zenk, E. R.
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| Kiadó: |
Springer
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| Dátum: |
2006
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| Téma: |
QA Mathematics / matematika
QA72 Algebra / algebra
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| Tartalmi leírás: |
The least element 0 of a finite meet semi-distributive lattice is a meet of meet-prime elements. We investigate conditions under which the least element of an algebraic, meet semi-distributive lattice is a (complete) meet of meet-prime elements. For example, this is true if the lattice has only countably many compact elements, or if |L| < 2(?0), or if L is in the variety generated by a finite meet semi-distributive lattice. We give an example of an algebraic, meet semi-distributive lattice that has no meet-prime element or join-prime element. This lattice L has |L| = |LC| = 2(?0) where L(c) is the set of compact elements of L.
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| Típus: |
Article
PeerReviewed
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| Formátum: |
text
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| Azonosító: |
Adaricheva, K. and Maróti, Miklós and McKenzie, R. and Nation, J. B. and Zenk, E. R. (2006) The Jónsson-Kiefer Property. Studia Logica, 83 (1-3). pp. 111-131. ISSN 0039-3215
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