Sitzungsber. Abt. II (2004) 213: 33–41 Ring-Like Structures Corresponding to MV-Algebras via Symmetric Difference  By Ivan Chajda and Helmut La ¨nger (Vorgelegt in der Sitzung der math.-nat. Klasse am 25. Ma ¨rz 2004 durch das w. M. Ludwig Reich) Abstract The well-known natural bijective correspondence between Boolean algebras and Boolean rings is generalized from Boolean algebras to MV-algebras. The ring-like structures arising this way correspond in a natural bijective manner to so-called strong De Morgan algebras. AMS Subject Classification: 06D35, 06D30. Key words: MV-algebra, pseudoring, De Morgan algebra, strong De Morgan algebra. 1. Introduction The fundamental operations in logic are disjunction, conjunction and negation. Describing them algebraically leads to lattice-like struc- tures with some sort of complementation. In the classical case one obtains Boolean algebras which correspond to Boolean rings in a natural bijective way. Ring addition and ring multiplication can be logically interpreted as exclusive disjunction and conjunction, respectively.  Research supported by € OAD, Cooperation between Austria and Czech Republic in Science and Technology, grant No. 2003/1.