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Finite basis problems and results for quasivarieties

  • Metaadatok
Tartalom: http://dx.doi.org/10.1007/s11225-005-3320-5
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published


Type = Article
Cím:
Finite basis problems and results for quasivarieties
Létrehozó:
Maróti, Miklós
McKenzie, Ralph
Kiadó:
Springer
Dátum:
2004
Téma:
QA Mathematics / matematika
QA72 Algebra / algebra
Tartalmi leírás:
Let K be a finite collection of finite algebras of finite signature such that SP( K ) has meet semi-distributive congruence lattices. We prove that there exists a finite collection K 1 of finite algebras of the same signature, K1?K , such that SP( K 1) is finitely axiomatizable.We show also that if HS(K)?SP(K) , then SP( K 1) is finitely axiomatizable. We offer new proofs of two important finite basis theorems of D. Pigozzi and R. Willard. Our actual results are somewhat more general than this abstract indicates.
Típus:
Article
PeerReviewed
Formátum:
text
Azonosító:
Maróti, Miklós and McKenzie, Ralph (2004) Finite basis problems and results for quasivarieties. Studia Logica, 78 (1-2). pp. 293-320. ISSN 0039-3215
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