Non-splitting in Kirchberg's Ideal-related KK-Theory

Nonsplitting in Kirchberg's Ideal-related Kk -theory

A universal coefficient theorem in the setting of Kirchberg’s ideal-related KK -theory was obtained in the fundamental case of a Calgebra with one specified ideal by Bonkat in [1] and proved there to split, unnaturally, under certain conditions. Employing certain K-theoretical information derivable from the given operator algebras in a way introduced here, we shall demonstrate that Bonkat’s UCT...

Gas-Kinetic Theory-Based Flux Splitting Methodfor Ideal Magnetohydrodynamics

A gas-kinetic flux splitting method is developed for the ideal magnetohydrodynamics (MHD) equations. The new scheme is based on the direct splitting of the flux function of the MHD equations with the inclusion of “particle” collisions in the transport process. Consequently, the artificial dissipation in the new scheme is greatly reduced in comparison with the MHD flux vector splitting method. N...

Theory of Non - Lc Ideal Sheaves

We introduce the notion of non-lc ideal sheaves. It is an analogue of the notion of multiplier ideal sheaves. We establish the restriction theorem, which seems to be the most important property of non-lc ideal sheaves.

ideal theory in  -semihyperrings

the concept of  -semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of      -semiring. since the theory of ideals plays an important role in the theory of  - semihyperring, in this paper, we will make an intensive study of the notions of noetherian, artinian, simple and   regular      -semihyperrings. the bulk of this paper...

Equivariant KK-theory and noncommutative index theory