Weakly ∗-ordered ∗-fields

On Weakly Ordered Systems

The statement "x>y" may be read "x dominates y." Transitivity is not assumed ; a transitive weakly ordered system is a partially ordered system. By a solution of a weakly ordered system is meant a set V of elements of D such that (a) XÇLV and y £ V implies x># for some yÇ~ V. The concept of solution was introduced in J. von Neumann and O. Morgenstern, Theory...

Generalized Weakly Contractions in Partially Ordered Fuzzy Metric Spaces

In this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and  coincidence point  theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.

On Partly Ordered Fields

Ordered Rings and Fields

Radical of weakly ordered semigroup algebras

We define the notion of weakly ordered semigroups. For this class of semigroups, we compute the radical of the semigroup algebras. This generalizes some results on left regular bands and on 0Hecke algebras.