Some characterizations of a $B$-property

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.

Homological Characterizations of Rings with Property (P)

A commutative ring R is said to satisfy property (P) if every finitely generated proper ideal of R admits a non-zero annihilator. In this paper we give some necessary and sufficient conditions that a ring satisfies property (P). In particular, we characterize coherent rings, noetherian rings and P-coherent rings with property (P).

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)