in this paper we formulate and prove some xed and common xed pointtheorems for self-mappings dened on complete lower transversal functionalprobabilistic spaces.

We study completely positive module maps on $C^{*}$-algebras which are $C^*$-module over another $C^*$-algebra with compatible actions. extend several well known dilation and extension results to this setup, including the Stinespring theorem Wittstock, Arveson, Voiculescu theorems.

We introduce the notion of cumulants as applied to linear maps between associative (or commutative) algebras that are not compatible with algebraic product structure. These have a close relationship $$A_{\infty }$$ and $$C_{\infty morphisms, which classical homotopical tools for analyzing deformations algebraically maps. look at these two different perspectives understand how infinity-morphisms...

Let A be a nonempty real central arrangement of hyperplanes and Ch be the set of chambers of A. Each hyperplane H defines a half-space H and the other half-space H. Let B = {+,−}. For H ∈ A, define a map ǫ H : Ch → B by ǫ H (C) = + (if C ⊆ H) and ǫ H (C) = − (if C ⊆ H). Define ǫ H = −ǫ H . Let Ch = Ch×Ch× · · · ×Ch (m times). Then the maps ǫ H induce the maps ǫ H : Ch → B. We will study the adm...

We construct two classes of Gray maps, called type-I Gray map and type-II Gray map, for a finite p-group G. Type-I Gray maps are constructed based on the existence of a Gray map for a maximal subgroup H of G. When G is a semidirect product of two finite p-groups H and K, both H and K admit Gray maps and the corresponding homomorphism ψ : H −→ Aut(K) is compatible with the Gray map of K in a sen...

In the present paper we prove a unique common fixed point theorem for four weakly compatible self maps in non Archimedean Menger Probabilistic Metric spaces without using the notion of continuity. Our result generalizes and extends the results of Amit Singh, R.C. Dimri and Sandeep Bhatt [A common fixed point theorem for weakly compatible mappings in non-Archimedean Menger PM-space, MATEMATIQKI ...

We establish a long exact sequence for Legendrian submanifolds L ⊂ P × R, where P is an exact symplectic manifold, which admit a Hamiltonian isotopy that displaces the projection of L to P off of itself. In this sequence, the singular homology H∗ maps to linearized contact cohomology CH, which maps to linearized contact homology CH∗, which maps to singular homology. In particular, the sequence ...

Lifts of graph and map automorphisms can be described in terms of voltage assignments that are, in a sense, compatible with the automorphisms. We show that compatibility of ordinary voltage assignments in Abelian groups is related to orthogonality in certain Z-modules. For cyclic groups, compatibility turns out to be equivalent with the existence of eigenvectors of certain matrices that are nat...

The paper presents an approach for building 3-D city models for virtual environments from multiple 3-D data sets acquired from diierent viewpoints by light striping. The raw data sets are represented as single valued parametric surfaces called the 3-D proole maps. The proole maps are registered to the same coordinate system by an iterative surface matching algorithm developed previously. The re...