The Mobius inversion formula of the free monogenic inverse semigroup is represented by the Mobius function for Cauchy product. In this short note we describe a Dirichlet analogue of this inverse semigroup.
Title
A Dirichlet Analogue Of The Free Monogenic Inverse Semigroup Via Mobius Inversion
Published in
Rocky Mountain Journal Of Mathematics
Volume
41
Pages
1701-1710
Date
2011
Publisher
Rocky Mountain Mathematics Consortium
ISSN
0035-7596
Record creation date
2012-06-12