$L$-Primitive Words in Submonoids

Shubh Narayan Singh; K. V. Krishna

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arXiv · 1403.5788

$L$-Primitive Words in Submonoids

Shubh Narayan Singh·K. V. Krishna

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Abstract

This work considers a natural generalization of primitivity with respect to a language. Given a language $L$, a nonempty word $w$ is said to be $L$-primitive if $w$ is not a proper power of any word in $L$. After ascertaining the number of primitive words in submonoids of a free monoid, the work proceeds to count $L$-primitive words in submonoids of a free monoid. The work also studies the distribution of $L$-primitive words in certain subsets of free monoids.

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Shubh Narayan Singh, K. V. Krishna. 2014-03-23. $L$-Primitive Words in Submonoids. https://arxiv.org/abs/1403.5788

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