Increasing demands for luminosity in existing and future colliders have made lattice design and error tolerance and correction critical to achieving performance goals. The current state of the Tevatron collider is an example, with a strong skew quadrupole error present in the operational lattice. This work studies the high-order performance of the Tevatron and the strong nonlinear behavior intr...

It is shown that all uniquely homogeneous spaces are connected. We characterize the uniquely homogeneous spaces that are semitopological or quasitopological groups. We identify two properties of homogeneous spaces called skew-2-flexibility and 2-flexibility that are useful in studying unique homogeneity. We also construct a large family of uniquely homogeneous spaces with only trivial continuou...

In the dynamic game we analyze, players are the members of a fixed network. Everyone is initially endowed with an information item that he is the only player to hold. Players are offered a finite number of periods to centralize the initially dispersed items in the hands of any one member of the network. In every period, each agent strategically chooses whether or not to transmit the items he ho...

In this paper, we introduce (almost) skew 2-nomial algebras, establish the existence of a skew multiplicative K-basis for a skew 2-nomial algebra, and explore the existence of a Gröbner basis theory for such algebras. As a by-product, a family of Noetherian algebras is recognized by the finite Gröbner basis theory. Let K be a field, and let R be a finitely generated free K-algebra, or a path al...

Tutte associates a V by V skew-symmetric matrix T , having indeterminate entries, with a graph G=(V,E). This matrix, called the Tutte matrix, has rank exactly twice the size of a maximum cardinality matching of G. Thus, to find the size of a maximum matching it suffices to compute the rank of T . We consider the more general problem of computing the rank of T +K where K is a real V by V skew-sy...

~ ABSTRACT. Let L/K be a right quadratic (skew) field extension and let P be a 3-dimensional projective space over K which is embedded in a 3dimensional projective space P over L. Moreover let I be a line of P which ~ carries no point of P. The main result is that even when L or K is a skew ~ field the following holds true: A desarguesian spread of P is given by the ~ ~ set of all lines of P wh...

The purpose of this paper is to investigate identities with derivations and automorphisms on semiprime rings. A classical result of Posner states that the existence of a nonzero centralizing derivation on a prime ring forces the ring to be commutative. Mayne proved that in case there exists a nontrivial centralizing automorphism on a prime ring, then the ring is commutative. In this paper, some...

We study topological properties of the correspondence of prime spectra associated to a noncommutative ring homomorphism R → S. Our main result provides criteria for the adjointness of certain functors between the categories of Zariski closed subsets of SpecR and SpecS; these functors arise naturally from restriction and extension of scalars. When R and S are left noetherian, adjointness occurs ...