Cyclic ordered groups and MV-algebras
Daniel Gluschankof · Czechoslovak Mathematical Journal · 1993
In the forties and fifties two-at the moment-unrelated concepts derived from that of an ordered group appeared.The notion of cyclic-ordered group (c-group) (see [9], [10], [13] and [14]) and that of ).The first one appeared as a way of generalizing the notion of totally ordered groups.That notion was further extended to that of partially cyclically ordered groups.The notion of MV-algebras resulted from a succesfull attempt of giving an algebraic structure to the infinite-valued Lukasievicz propositional logics.In the last decade, that theory was fruitfully linked with that of a class of C*-algebras (see [8]).The objective of this work is to show that suitable subclasses of that notions can be linked by the way of a covariant functor. DEFINITIONS AND FIRST FACTS