We find an explicit closed form for the subword complexity of the infinite fixed point of the morphism sending a → aab and b → b. This morphism is then generalized in three different ways, and we find similar explicit expressions for the subword complexity of the generalizations.

In the study of pre-Lie algebras, concept pre-morphism arises naturally as a generalization standard notion morphism. Pre-morphisms can be defined for arbitrary (not-necessarily associative) algebras over any commutative ring k with identity, and dualized in various ways to generalized morphisms (related pre-Jordan algebras) anti-pre-morphisms anti-pre-Lie algebras). We consider idempotent pre-...

Abstract We give an explicit positive answer, in the case of reduced curve singularities, to a question B. Teissier about existence toric embedded resolution after reembedding. In singularity ( C , O ) contained non singular surface S such reembedding may be defined terms sequence maximal contact curves minimal . prove that there exists modification, reembedding, which provides use properties s...