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Notes on MV-modules over integral domains

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Type
Preprint
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arXiv ID: 1504.07016
Source
arXiv
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Abstract

An MV-module is an MV-algebra endowed with a scalar multiplication with scalars in a PMV-algebra (i.e. an MV-algebra endowed with a binary "ring-like" product). We investigate the class of semisimple MV-modules over a semisimple and totally ordered integral domain, and we prove an adjunction with a special class of linear spaces.

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