the starting point of this paper is given by priestley’s papers, where a theory of representation of distributive lattices is presented. the purpose of this paper is to develop a representation theory of fuzzy distributive lattices in the finite case. in this way, some results of priestley’s papers are extended. in the main theorem, we show that the category of finite fuzzy priestley space...

In this paper, our purpose is twofold. Firstly, the tensor andresiduum operations on $L-$nested systems are introduced under thecondition of complete residuated lattice. Then we show that$L-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. Thus the new representation theorem of$L-$subsets on complete re...

In the first part of this paper, we give a new analytical proof theorem C. Sabbah on integrable deformations meromorphic connections $\mathbb P^1$ with coalescing irregular singularities Poincar\'e rank 1, and generalizing previous result B. Malgrange. second as an application, prove that any semisimple formal Frobenius manifold (over C$), unit Euler field, is completion analytic pointed germ D...