We show that some basic results on the K–theory of noetherian rings can be extended to coherent rings.

This paper presents the results of a performance study on 1D and 2D k-ary n-cube switching fabrics for the Scalable Coherent Interface through high-fidelity simulation with analytical verification. These topologies have been widely cited in the literature as the target of studies on parallel algorithms and represent a promising basis for the design of efficient distributed switching fabrics for...

We focus on two types of coherent states, the states multi-graviton and giant graviton in context gauge/gravity correspondence. conveniently use a phase shift operator its actions superpositions these states. find N-state Schrödinger cat which approach one-row Young tableau with fidelity between them asymptotically reaching 1 at large N. The quantum Fisher information is proportional to varianc...

In this paper, we introduce and study the class [Formula: see text]-[Formula: text]-ML of text]-Mittag-Leffler modules with respect to all flat modules. We show that a ring text] is text]-coherent if only every ideal in text]-ML, closed under submodules. As an application, obtain text]-version Chase Theorem: any direct product copies text]-flat, text]-modules text]-flat. Consequently, provide a...