Examples of multiparameter CCR flows with non-trivial index

Trivial Stable Structures with Non-trivial Reducts

We offer a new viewpoint on some of the generic structures constructed using Hrushovski’s predimensions and show that they are natural reducts of quite straightforward trivial, one-based stable structures. 2000 Mathematics Subject Classification: 03C45.

Existence of non-trivial solutions for fractional Schrödinger-Poisson systems with subcritical growth

In this paper, we are concerned with the following fractional Schrödinger-Poisson system:    (−∆s)u + u + λφu = µf(u) +|u|p−2|u|, x ∈R3 (−∆t)φ = u2, x ∈R3 where λ,µ are two parameters, s,t ∈ (0,1] ,2t + 4s > 3 ,1 < p ≤ 2∗ s and f : R → R is continuous function. Using some critical point theorems and truncation technique, we obtain the existence and multiplicity of non-trivial solutions with ...

Examples of non-trivial roots of unity at ideal points of hyperbolic 3-manifolds

This paper gives examples of hyperbolic 3-manifolds whose SL(2,C) character varieties have ideal points for which the associated roots of unity are not ±1. This answers a question of Cooper, Culler, Gillet, Long, and Shalen as to whether roots of unity other than ±1 occur.

Examples of non-quasicommutative semigroups decomposed into unions of groups

Decomposability of an algebraic structure into the union of its sub-structures goes back to G. Scorza's Theorem of 1926 for groups. An analogue of this theorem for rings has been recently studied by A. Lucchini in 2012. On the study of this problem for non-group semigroups, the first attempt is due to Clifford's work of 1961 for the regular semigroups. Since then, N.P. Mukherjee in 1972 studied...

Strongly regular graphs with non-trivial automorphisms