Some characterizations of a timelike curve in $R^3_1$

Timelike Quaternion Frame of a Non-lightlike Curve

A rotation matrix can be generated by a unit timelike quaternion in the three dimensional Minkowski space. In this paper, we correspond columns of this rotation matrix to Frenet vectors of a nonlightlike curve and we find a reformulation of Frenet’s formulas of nonlightlike curves in terms of the timelike quaternions in the Minkowski 3-space. Moreover, we do same things for the parallel transpo...

Some Characterizations of Domination

We show that a cocycle has a dominated splitting if and only if there is a uniform exponential gap between singular values of its iterates. Then we consider sets Σ in GL(d, R) with the property that any cocycle with values in Σ has a dominated splitting. We characterize these sets in terms of existence of invariant multicones, thus extending a 2-dimensional result by Avila, Bochi, and Yoccoz. W...

SOME CHARACTERIZATIONS OF HYPER MV -ALGEBRAS

In this paper we characterize hyper MV -algebras in which 0 or1 are scalar elements . We prove that any nite hyper MV -algebra that 0is a scaler element in it, is an MV -algebra. Finally we characterize hyperMV -algebras of order 2 and order 3.

Some Characterizations of the Commutator A Day

We start with a characterization of the modular commutator that was given by E Kiss and the rst author in DK and explore some of its consequences Implicit in this characterization is that both the shifting lemma and the cube lemma from Gu yield descriptions of the commutator in terms of implications of identities The shifting lemma translates into the well known term condition and the cube lemm...

Some Characterizations of C(m)