Let R = Q a2A R a be an innnite product of zero-dimensional chained rings. It is known that R is either zero-dimensional or innnite-dimensional. We prove that a nite-dimensional homomorphic image of R is of dimension at most one. If each R a is a PIR and if R is innnite-dimensional, then R admits one-dimensional homomorphic images. However, without the PIR hypothesis on the rings R a , we prese...

Abstract We establish necessary and sufficient conditions for the existence of factorizable steady states of the generalized zero range process on a periodic or infinite lattice. This process allows transitions from a site i to a site (i + q) involving (a bounded number of) multiple particles with rates depending on the content of the site i, the direction q of movement, and the number of parti...

The notion of a capped tensor product, introduced by G. Grätzer and the author, provides a convenient framework for the study of tensor products of lattices that makes it possible to extend many results from the finite case to the infinite case. In this paper, we answer several open questions about tensor products of lattices. Among the results that we obtain are the following: Theorem 2. Let A...

Zero Defects is one of the ultimate targets for manufacturing quality control and assurance. Such systems are becoming common in advanced industries but at an initial stage more traditional industrial sectors, such as wood panels, laminates production, pulp paper processing composite panels production. This proposes PREFAB framework, applied to wood-based industry, minimize rejected products us...

The solubility of CdF2 in the mixed solvent (water(1)+ethanol(2)) with mass fraction, W1 = 0.9,was determined by using solvent evaporating method in the presence of various concentrations(0.100, 0.200, 0.300, 0.400, 0.500, 0.600, 0.800 and 1.500 mo1.1)) of NaCI at 25°C. The values ofsolubility and solubility product constant of CdF2 in the mixed solvent were evaluated at zero ionicstrength upon...

We define the tracial Rokhlin property for actions of finite cyclic groups on stably finite simple unital C*-algebras. We prove that the crossed product of a stably finite simple unital C*-algebra with tracial rank zero by an action with this property again has tracial rank zero. Under a kind of weak approximate innerness assumption and one other technical condition, we prove that if the action...