Universal expansions and determinacy for finitely generated varieties of dp-algebras
A category fC is a-determined for some cardinal a if any class of non-isomorphic ^-objects having isomorphic endomorphism monoids is a set with fewer than a elements. An a-expansion K.a is the category whose objects are all /C-objects augmented by a new constants and whose morphisms are exactly the...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 3-4 |
| Kulcsszavak: | Matematika, Algebra |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16442 |
| Tartalmi kivonat: | A category fC is a-determined for some cardinal a if any class of non-isomorphic ^-objects having isomorphic endomorphism monoids is a set with fewer than a elements. An a-expansion K.a is the category whose objects are all /C-objects augmented by a new constants and whose morphisms are exactly the /C-morphisms preserving these constants. And a category is alguniversal if it contains an isomorphic copy of any category of algebras as a full subcategory. This paper characterizes the finitely generated varieties of distributive double p-algebras which are a-determined for some cardinal a as well as those having a-expansions which are alg-universal. Results of this paper complete the project of a structural classification of finitely generated varieties of distributive double p-algebras according to their categorical properties. |
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| Terjedelem/Fizikai jellemzők: | 419-458 |
| ISSN: | 0001-6969 |