binayak et al in [1] proved a fixed point of generalized kannan type-mappings in generalized menger spaces. in this paper we extend gen- eralized kannan-type mappings in generalized fuzzy metric spaces. then we prove a fixed point theorem of this kind of mapping in generalized fuzzy metric spaces. finally we present an example of our main result.

‎in this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. moreover, we study some more properties of this type of closed spaces.

In this paper we compute the subgroup zeta functions of nilpotent semi-direct products of groups of the form Gn := 〈x1, . . . , xn, y1, . . . , yn−1| [xi, xn] = yi, 1 ≤ i ≤ n− 1, all other [, ] trivial〉 and deduce local functional equations.

In the spirit of Diffie Hellman the concept of a protocol algebra is introduced using certain amalgamated free product of Braid group (B) and Thompson group (T ) together with a nilpotent subgroup H of index 2

It is shown that an algebra Λ can be lifted with nilpotent Jacobson radical r = r(Λ) and has a generalized matrix unit {eii}I with each ēii in the center of Λ̄ = Λ/r iff Λ is isomorphic to a generalized path algebra with weak relations. Representations of the generalized path algebras are given. As a corollary, Λ is a finite algebra with non-zero unity element over perfect field k (e.g. a field ...

Let G be a finite group and assume that of automorphisms A is acting on such have coprime orders. Recall subgroup H said to TI-subgroup if it has trivial intersection with its distinct conjugates in G. We study the solubility other properties when we certain invariant subgroups are TI-subgroups, precisely all A-invariant subgroups, non-nilpotent non-abelian G, respectively, TI-subgroups.