1. Locally finiteness and convolution products in groupoids
- Author
-
Joseph Neggers, Hee Sik Kim, and In Ho Hwang
- Subjects
Pure mathematics ,moebius function ,General Mathematics ,interval value function ,lcsh:Mathematics ,above ,locally finite ,below ,groupoid ,lcsh:QA1-939 ,convolution product ,Riemann zeta function ,zeta function ,symbols.namesake ,Number theory ,Special functions ,Lattice (order) ,symbols ,transitive interval property ,Mathematics - Abstract
In this paper, we introduce a version of the Moebius function and other special functions on a particular class of intervals for groupoids, and study them to obtain results analogous to those obtained in the usual lattice, combinatorics and number theory setting, but of course much more general due to the viewpoint taken in this paper.
- Published
- 2020