Supported by Education Foundation of Henan Province(2003110006)
In this article, the authors study a generalized modulus of convexity, δ(α) (ε). Certain related geometrical properties of this modulus are analyzed. Their main result is that Banach space X has uniform normal ...
This paper is devoted to the study of the logical properties of BCK algebras. For formalized BCK algebra theory T, it is proved that T is preserved under submodels and unions of chains; T is neither complete nor model...
In this paper we add some new corcollary and theorems to [1],in particular,we show the fundamental theorem of ultraproducts in lattice valued model for L α logic. As a corollary,we get the α compactness theorem for...
In[1—3], Wang et al. assume always that the lattice of truth values possesses a weak or strong characteristic formula. It is not difficult to know that one of the essential reasons for which such a strong condition m...
This paper can be served as a natural and wide popularization of the theory of non-standard real number. When all the (X_i, +, ·, ≤, )(i∈I) are topologically ordered fields, three structures, algebraic structure+a...