Title: Coupling an MV-algebra with a Boolean algebra
Abstract: In this article we study Boolean powers of MV-algebras. We show that the property of semisimplicity is preserved by Boolean powers over separable complete Boolean algebras or by bounded Boolean powers over any Boolean algebra. In addition we give an explicit method of construction, based on Boolean powers, of an MV-algebra with given center. This last construction allows one to combine a qualitative (idempotent) structure like the Boolean algebra with a quantitative (non-idempotemt) structure like the MV-algebra.
Publication Year: 1998
Publication Date: 1998-04-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 3
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