Direct summands and retract mappings of generalized MV-algebras
Ján Jakubík · Czechoslovak Mathematical Journal · 2008
In the present paper we deal with generalized MV -algebras ( GMV -algebras, in short) in the sense of Galatos and Tsinakis. According to a result of the mentioned authors, GMV -algebras can be obtained by a truncation construction from lattice ordered groups. We investigate direct summands and retract mappings of GMV -algebras. The relations between GMV -algebras and lattice ordered groups are essential for this investigation.