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Cardinality and cofinality of homomorphs of products of Boolean algebras

✍ Scribed by Bernd Koppelberg; Ralph McKenzie; J. Donald Monk

Publisher
Springer
Year
1984
Tongue
English
Weight
303 KB
Volume
19
Category
Article
ISSN
0002-5240

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πŸ“œ SIMILAR VOLUMES

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In this paper, the (weak) Boolean representation of R0-algebras are investigated. In particular, we show that directly indecomposable R0-algebras are equivalent to local R0-algebras and any nontrivial R0-algebra is representable as a weak Boolean product of local R0-algebras.

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The representation of algebras by Boolean products is a very general problem in universal algebra. In this paper we shall characterize the Boolean products of BL-chains, the weak Boolean products of local BL-algebras, and the weak Boolean products of perfect BL-algebras.