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18

APAL
2002

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Inherently nonfinitely based lattices

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Inherently nonfinitely based lattices

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We give a general method for constructing lattices L whose equational theories are inherently nonfinitely based. This means that the equational class (that is, the variety) generated by L is locally finite and that L belongs to no locally finite finitely axiomatizable equational class. We also provide an example of a lattice which fails to be inherently nonfinitely based but whose equational theory is not finitely axiomatizable. Key words: lattice, finite axiomatizability, inherently nonfinitely based

Ralph Freese, George F. McNulty, James B. Nation

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APAL 2002 | Equational | Equational Class | Equational Theories |

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Added	16 Dec 2010
Updated	16 Dec 2010
Type	Journal
Year	2002
Where	APAL
Authors	Ralph Freese, George F. McNulty, James B. Nation

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