Algebra universalis

, Volume 69, Issue 3, pp 213–229 | Cite as

Finitely generated varieties of distributive effect algebras

Article

Abstract

Lattice-ordered effect algebras generalize both MV-algebras and orthomodular lattices. In this paper, finitely generated varieties of distributive lattice effect algebras are axiomatized, and for any positive integer n, the free n-generator algebras in these varieties are described.

2010 Mathematics Subject Classification

Primary: 03G10 Secondary: 03G25 06D35 

Key words and phrases

lattice effect algebra MV-algebra finitely generated variety free algebra 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Department of Algebra and Geometry, Faculty of SciencePalacký University in OlomoucOlomoucCzech Republic

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