Maróti, Miklós and McKenzie, Ralph
(2004)
*Finite basis problems and results for quasivarieties.*
Studia Logica, 78 (1-2).
pp. 293-320.
ISSN 0039-3215

Text
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Official URL: http://dx.doi.org/10.1007/s11225-005-3320-5

## Abstract

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.

Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika Q Science / természettudomány > QA Mathematics / matematika > QA72 Algebra / algebra |

Depositing User: | Erika Bilicsi |

Date Deposited: | 04 Apr 2013 08:44 |

Last Modified: | 04 Apr 2013 08:44 |

URI: | http://real.mtak.hu/id/eprint/4589 |

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