Abstract
The notion of bounded commutative residuated l-monoid (BCR l-monoid, in short) generalizes both the notions of MV-algebra and of BL-algebra. Let Open image in new window be a BCR l-monoid; we denote by l( Open image in new window ) the underlying lattice of Open image in new window . In the present paper we show that each direct product decomposition of l( Open image in new window ) determines a direct product decomposition of Open image in new window . This yields that any two direct product decompositions of Open image in new window have isomorphic refinements. We consider also the relations between direct product decompositions of Open image in new window and states on Open image in new window .
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
