6533b855fe1ef96bd12b1a5a

RESEARCH PRODUCT

Bounded Bi-ideals and Linear Recurrence

Raivis BetsJanis BulsInese Berzina

subject

CombinatoricsCombinatorics on wordsMathematics::Commutative AlgebraBounded setBounded functionBase (topology)Bounded inverse theoremBounded operatorMathematics

description

Bounded bi-ideals are a subclass of uniformly recurrent words. We introduce the notion of completely bounded bi-ideals by imposing a restriction on their generating base sequences. We prove that a bounded bi-ideal is linearly recurrent if and only if it is completely bounded.

https://doi.org/10.1109/synasc.2013.57