These are some brief notes on the translation from Razborov’s recently-developed notion of flag algebra ([9]) into the lexicon of functions and measures on certain abstract Cantor spaces (totally disconnected compact metric spaces). 1 The objects of interest Consider a universal first-order theory T with equality in a language L that contains only predicate symbols; assume T has infinite models...

The polytope algebra is the universal group for translation invariant valuations on the family of polytopes in a nite dimensional vector space over an ordered eld. In an earlier paper, it was shown that the polytope algebra is, in all but one trivial respect, a graded (commutative) algebra over the base eld. Also described was a family of separating (group) homomorphisms, called frame functiona...

First of all, we find some further properties of the characterization of fiber product preserving bundle functors on the category of all fibered manifolds in terms of an infinite sequence A of Weil algebras and a double sequenceH of their homomorphisms from [5]. Then we introduce the concept of Weilian prolongation WA HS of a smooth category S over N and of its action D. We deduce that the func...

and Applied Analysis 3 in the middle variable, and associative in the sense that x, y, z,w, v x, w, z, y , v x, y, z , w, v , and satisfies ‖ x, y, z ‖ ≤ ‖x‖ · ‖y‖ · ‖z‖ and ‖ x, x, x ‖ ‖x‖ see 45, 47 . Every left Hilbert C∗-module is a C∗-ternary algebra via the ternary product x, y, z : 〈x, y〉z. If a C∗-ternary algebra A, ·, ·, · has an identity, that is, an element e ∈ A such that x x, e, e ...

This paper is about partially ordered multisets (pomsets for short). We investigate a particular class of pomsets that we call order-deterministic, properly including all partially ordered sets, which satisfies a number of interesting properties: among other things, it forms a distributive lattice under pomset prefix (hence prefix closed sets of order-deterministic pomsets are prime algebraic),...

We study Seiberg duality of quiver gauge theories associated to the complex cone over the second del Pezzo surface. Homomorphisms in the path algebra of the quivers in each of these cases satisfy relations which follow from a superpotential of the corresponding gauge theory as F-flatness conditions. We verify that Seiberg duality between each pair of these theories can be understood as a derive...

in this paper, we introduce n-jordan homomorphisms and n-jordan *-homomorphisms and also investigate the hyers-ulam-rassiasstability of n-jordan *-homomorphisms on c*-algebras.

A generating function of the number of homomorphisms from the fundamental group of a compact oriented or non-orientable surface without boundary into a finite group is obtained in terms of an integral over a real group algebra. We calculate the number of homomorphisms using the decomposition of the group algebra into irreducible factors. This gives a new proof of the classical formulas of Frobe...

Let k be an arbitrary field, Λ a k-algebra and V Λ-module. When it exists, the universal deformation ring R(Λ,V) of is whose local homomorphisms to R parametrize lifts up R⊗kΛ, where any complete, commutative Noetherian with residue field k. Symmetric special biserial algebras, which coincide Brauer graph can viewed as generalizing blocks finite type p-modular group algebras. Bleher Wackwitz cl...