On the finite embeddability property for quantum B-algebras.

After the establishment of the finite embeddability property for integral and commutative residuated ordered monoids by Blok and Van Alten in 2002, the finite embeddability property for some other types of residuated ordered algebraic structures have been extensively studied. The main purpose of this paper is to construct a finite quantale X̂F from a finite partial subalgebra F of an increasing quantum B-algebra X so that F can be embedded into X̂F, that is, the class of increasing quantum B-algebras has the finite embeddability property. [ABSTRACT FROM AUTHOR]