DIRECT PRODUCT DECOMPOSITIONS OF PSEUDO $MV$-ALGEBRAS

Jan Jakubik

Address. Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, SLOVAKIA

E-mail: musavke@saske.sk

Abstract. In this paper we deal with the relations between the direct product decompositions of a pseudo $MV$-algebra and the direct product decomposicitons of its underlying lattice.

AMSclassification. Primary 06F35

Keywords. Pseudo $MV$-algebra, direct product decomposition.