Let K and X be compact plane sets such that K X. Let P(K)be the uniform closure of polynomials on K. Let R(K) be the closure of rationalfunctions K with poles o K. Dene P(X;K) and R(X;K) to be the uniformalgebras of functions in C(X) whose restriction to K belongs to P(K) and R(K),respectively. Let CZ(X;K) be the Banach algebra of functions f in C(X) suchthat fjK = 0. In this paper, we show th...

In this paper, the concept of v-filters on lattice implication algebras is introduced by linking the Vague set and filter theory of lattice implication algebras; The properties and equivalent characterizations of v-filters are investigated; The relations between v-filters and filters are studied.

qutb al-din mohammad known as abdoll?h-e-qutb, is the mystic and austere of 15-16 centuries whose most important trait of life is his plan of an ideal society organization, called “ekhvan-?b?d”. such a devotional aggregation near the city of jahrom, provoked high sensitivity and prompted disagreements, because of this period’s advent. since, after several centuries, there have been remained not...