$L$-Primitive Words in Submonoids

نویسندگان

  • Shubh Narayan Singh
  • Kanduru V. Krishna
چکیده

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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عنوان ژورنال:
  • CoRR

دوره abs/1403.5788  شماره 

صفحات  -

تاریخ انتشار 2014