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Algebra universalis

, Volume 64, Issue 3–4, pp 349–377 | Cite as

A decomposition theory for complete modular meet-continuous lattices

  • Harold Simmons
Article

Abstract

Motivated by a technique from ring theory, I describe a way of decomposing intervals of a certain kind of complete lattice into an independent union of small intervals. After developing the general lattice theoretic technique, I apply the method to geo-lattices, a certain kind of complemented complete lattice.

2010 Mathematics Subject Classification

Primary: 06B05 Secondary: 06Cxx 

Keywords and phrases

lattice decomposition associated points 

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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.School of MathematicsThe UniversityManchesterEngland

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