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J. Aust. Math. Soc.
75 (2003), 41-56 | ||
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The direct decomposition of l-algebras
into products of subdirectly irreducible factors
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| Abstract | ||
| Generalizing earlier results of Katrinák,
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.
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