Research article

Locally finiteness and convolution products in groupoids

  • Received: 10 March 2020 Accepted: 14 September 2020 Published: 18 September 2020
  • MSC : 20N02, 06A06, 11M06

  • 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.

    Citation: In Ho Hwang, Hee Sik Kim, Joseph Neggers. Locally finiteness and convolution products in groupoids[J]. AIMS Mathematics, 2020, 5(6): 7350-7358. doi: 10.3934/math.2020470

    Related Papers:

  • 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.


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    [6] Y. L. Liu, H. S. Kim, J. Neggers, Hyperfuzzy subsets and subgroupoids, J. Intell. Fuzzy Syst., 33 (2017), 1553-1562.
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    [11] J. Neggers, H. S. Kim, Basic Posets, World Scientific Publishing Com., Singapore, 1998.
    [12] J. M. Howie, An introduction to semigroup theory, Academic Press, New York, 1976.
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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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