Periodicity and indecomposability

Periodicity and Indecomposability

In this paper we characterize the existence of periodic points of odd period greater than one for unimodal mappings of an interval onto itself. The interesting juxtaposition of this condition with the occurrence in inverse limits of the well-known Brouwer-Janiszewski-Knaster continuum is explored. Also obtained is a characterization of indecomposability of certain inverse limits using a single ...

Indecomposability Graphs of Rings

We define a subgraph of the zero divisor graph of a ring, associated to the ring idempotents. We study its properties and prove that for large classes of rings the connectedness of the graph is equivalent to the indecomposability of the ring and in those cases we also calculate the graph’s diameter. 2000 Mathematics subject classification: 16U99, 05C99.

On indecomposability and composants of chaotic continua

A homeomorphism f : X → X of a compactum X with metric d is expansive if there is c > 0 such that if x, y ∈ X and x 6= y, then there is an integer n ∈ Z such that d(fn(x), fn(y)) > c. A homeomorphism f : X → X is continuum-wise expansive if there is c > 0 such that if A is a nondegenerate subcontinuum of X, then there is an integer n ∈ Z such that diam fn(A) > c. Clearly, every expansive homeom...

Periodicity and Almost-periodicity

Indecomposability of cyclic codes

It is stated in Montpetit (1987) that cyclic codes are indecomposable, but it is not true in general. In fhis paper we will give a necessary and sufficient condition for a cyclic code to be indecomposable, using its generator polynomial. @ 1999 Elsevier Science B.V. All rights reserved