Godel spaces and perfect MV-algebras

The category of Godel spaces GS (with strongly isotone maps as morphisms), which are dually equivalent to the category of Godel algebras, is transferred by a contravariant functor H into the category MV(C)(G) of MV-algebras generated by perfect MV-chains via the operators of direct products, subalgebras and direct limits. Conversely, the category MV(C)(G) is transferred into the category GS by means of a contravariant functor P. Moreover, it is shown that the functor 14 is faithful, the functor P is full and the both functors are dense. The description of finite coproduct of algebras, which are isomorphic to Chang algebra, is given. Using duality a characterization of projective algebras in MV(C)(G) is given. (C) 2015 Elsevier B.V. All rights reserved.