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...

We study Aharony-Bergman-Jafferis-Maldacena (ABJM) theory without and with mass deformation. It is shown that maximally supersymmetry preserving, D-term, and F-term mass deformations of single mass parameter are equivalent. We obtain vortex-type halfBPS equations and the corresponding energy bound. For the undeformed ABJM theory, the resulting half-BPS equation is the same as that in supersymme...

We review recent results in the study of regular four dimensional BPS black holes in toroidally compactified type II (or M) theory. We discuss the generating solution for this kind of black holes, its microscopic description(s), and compute the corresponding microscopic entropy. These achievements, which provide a description of the fundamental degrees of freedom accounting for the entropy of a...

In the present paper we address a nonlinear singular H1 sub-optimal control problem for a rigid spacecraft with actuator dynamics. Using recent results from nonlinear H1 control theory , we nd an explicit feedback solution involving the Euler parameters. Our solution is based on a solution to a corresponding nonlinear regular H1 suboptimal control problem for a rigid spacecraft with three contr...

We present a general framework for Matrix theory compactified on a quotient space R/Γ, with Γ a discrete group of Euclidean motions in R. The general solution to the quotient conditions gives a gauge theory on a noncommutative space. We characterize the resulting noncommutative gauge theory in terms of the twisted group algebra of Γ associated with a projective regular representation. Present A...

We construct a large class of explicit, asymptotically flat and regular wormhole solutions in higher order scalar tensor theories. The are vacuum theory no matter (exotic or regular) is introduced to support them. They constructed via general disformal transformation seed black hole solution. belong particular Horndeski which requires the presence all extended Galileons has dimensional Lovelock...

In this paper we give very sharp bounds for the distance between regularity and strong regularity. The solution of this problem uses a general matrix analogue [18] of the Perron-Frobenius Theory. This theory has been graded as a challenge problem for future research by the International Linear Algebra Society [7]. An interval matrix [A] ∈ IIMn(IR) is called regular, if every A ∈ [A] is nonsingu...

Following the work of Newman, we model complex networks with random graphs of a given degree distribution. In particular we study the case where all vertices have exactly the same degree (random regular graphs). We survey some recent results on the problem of partitioning such a graph into the smallest possible number of classes of mutually isolated vertices, known in graph theory as the colora...