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The Direct Decomposition of l-algebras into Products of Subdirectly Irreducible Factors

Part of: Ordered structures Algebraic structures Lattices

Published online by Cambridge University Press:  09 April 2009

Sándor Radeleczki
Sándor Radeleczki
Affiliation:
Institute of Mathematics University of Miskolc-Egyetemváros3515 MiskoicHungary e-mail: matradi@gold.uni-miskolc.hu
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Abstract

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Generalizing earlier results of Katriňák, El-Assar and the present author we prove new structure theorems for l-algebras. We obtain necessary and sufficient conditions for the decomposition of an arbitrary bounded lattice into a direct product of (finitely) subdirectly irreducible lattices.

MSC classification

Secondary: 08A05: Structure theory 06F99: None of the above, but in this section 06B05: Structure theory
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 75 , Issue 1 , August 2003 , pp. 41 - 56
Copyright
Copyright © Australian Mathematical Society 2003

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