منابع مشابه
Strong Topological Regularity and Weak Regularity of Banach Algebras
In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...
متن کاملIntermittency and regularity issues in 3 D Navier - Stokes turbulence ⋆
Two related open problems in the theory of 3D Navier-Stokes turbulence are discussed in this paper. The first is the phenomenon of intermittency in the dissipation field. Dissipation-range intermittency was first discovered experimentally by Batchelor and Townsend over fifty years ago. It is characterized by spatio-temporal binary behaviour in which long, quiescent periods in the velocity signa...
متن کاملRegularity of Solutions to 3-d Nematic Liquid Crystal Flows
In this note we consider the regularity of solutions to 3-D nematic liquid crystal flows, we prove that if either u ∈ Lq(0, T ;Lp(R3)), 2 q + 3 p ≤ 1, 3 < p ≤ ∞; or u ∈ Lα(0, T ;Lβ(R3)), 2 α + 3 β ≤ 2, 3 2 < β ≤ ∞, then the solution (u, d) is regular on (0, T ].
متن کاملRegularity of D-modules associated to a symmetric pair
The invariant eigendistributions on a reductive Lie algebra are solutions of a holonomic D-module which has been proved to be regular by Kashiwara-Hotta. We solve here a conjecture of Sekiguchi saying that in the more general case of symmetric pairs, the corresponding module are still regular.
متن کاملRegularity in residuated lattices
In this paper, we study residuated lattices in order to give new characterizations for dense, regular and Boolean elements in residuated lattices and investigate special residuated lattices in order to obtain new characterizations for the directly indecomposable subvariety of Stonean residuated lattices. Free algebra in varieties of Stonean residuated lattices is constructed. We introduce in re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1958
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1958-0093528-3