Introduction 1 Acknowledgment 1 Notation 1 1. The tensor product with a motive of weight zero 3 1.1. The tensor product of two motives of weight zero 3 1.2. The tensor product of a torus with a motive of weight 0 3 1.3. The tensor product of an abelian scheme with a motive of weight 0 4 1.4. The tensor product of an extension of an abelian scheme by a torus with a motive of weight 0 4 2. The 1-...

s. We show that strong edge magnetic shear which is generic to divertor plasmas makes the shearing of turbulence eddys in toroidal geometry more effective. From calculations of the shearing rates for KSTAR edge parameters, we conclude that the enhanced magnetic shear at the diverted KSTAR plasma edge facilitates shear suppression of turbulence and ensuing H-mode transition.

Let A be a unital algebra and M be a unital A-bimodule. A characterization of generalized derivations and generalized Jordan derivations from A into M, through zero products or zero Jordan products, is given. Suppose that M is a unital left A-module. It is investigated when a linear mapping from A into M is a Jordan left derivation under certain conditions. It is also studied whether an algebra...

The generic structure of 1-, 2and 3-point functions of fields residing in indecomposable representations of arbitrary rank are given. These in turn determine the structure of the operator product expansion in logarithmic conformal field theory. The crucial role of zero modes is discussed in some detail.

We consider stochastically modeled chemical reaction systems with mass-action kinetics and prove that a product-form stationary distribution exists for each closed, irreducible subset of the state space if an analogous deterministically modeled system with mass-action kinetics admits a complex balanced equilibrium. Feinberg's deficiency zero theorem then implies that such a distribution exists ...

In this paper we study some skew product diffeomorphisms with nonuniformly hyperbolic structure along fibers. We show that there is an invariant measure with zero entropy which has atomic conditional measures along fibers. This gives affirmative answer for these diffeomorphisms to the question suggested by Herman that a smooth diffeomorphism of positive topological entropy fails to be uniquely ...

In general, the tensor product, A ⊗ B, of the lattices A and B with zero is not a lattice (it is only a join-semilattice with zero). If A ⊗ B is a capped tensor product, then A ⊗ B is a lattice (the converse is not known). In this paper, we investigate lattices A with zero enjoying the property that A ⊗ B is a capped tensor product, for every lattice B with zero; we shall call such lattices ame...

In White Noise Analysis (WNA), various random quantities are analyzed as elements of (S)∗, the space of Hida distributions ([1]). Hida distributions are generalized functions of white noise, which is to be naturally viewed as the derivative of the Brownian motion. On (S)∗, the Wick product is defined in terms of the S-transform. We have found such a remarkable property that the Wick product has...

arising from the localization sequence in algebraic K-theory has a torsion cokernel. Here p runs over a set of primes which satisfy a certain condition explained below. When C is an elliptic curve, all but finite number of primes p satisfy the condition. By using this fact, Langer and Saito give a finiteness result for the torsion subgroup of the Chow group CH(C × C)([LS]). When g = genus(C) > ...

Let X,Y be locally compact Hausdorff spaces and M,N be Banach algebras. Let θ : C0(X,M) → C0(Y,N ) be a zero-product preserving bounded linear map with dense range. We show that θ is given by a continuous field of algebra homomorphisms from M into N if N is irreducible. As corollaries, such a surjective θ arises from an algebra homomorphism, provided thatM is a W*-algebra and N is a semi-simple...