Locally finiteness and convolution products in groupoids

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.

Keywords

• groupoid
• below
• above
• locally finite
• transitive interval property
• convolution product
• interval value function
• zeta function
• moebius function