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Communications in Algebra Volume 51, 2023 - Issue 11
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Research Article

Counting monogenic monoids and inverse monoids

L. Elliotta Department of Mathematics and Statistics, Binghamton University, Binghamton, New York, USAORCID Iconhttps://orcid.org/0000-0002-3584-7266View further author information
ORCID Icon,
A. Levineb Department of Mathematics, University of Manchester, Manchester, UKORCID Iconhttps://orcid.org/0000-0001-9633-9313View further author information
ORCID Icon &
J. D. Mitchellc School of Mathematics and Statistics, University of St Andrews, St Andrews, UKCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-5489-1617View further author information
ORCID Icon
Pages 4654-4661 | Received 28 Mar 2023, Accepted 03 May 2023, Published online: 27 May 2023

References

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  • Conway, J. B., Duncan, J., Paterson, A. L. T. (1984). Monogenic inverse semigroups and their C*- algebras. Proc. Royal Soc. Edinburgh: Sec. A Math. 98(1–2):13–24. DOI: 10.1017/S030821050002552X.
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  • Munn, W. D. (1974). Free inverse semigroups. In: Proc. London Math. Soc. s3-29(3):385–404. DOI: 10.1112/plms/s3-29.3.385.
  • Preston, G. B. (1986). Monogenic inverse semigroups. J. Austral. Math. Soc. Ser. A 40(3):321–342. DOI: 10.1017/S1446788700027543.
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  • Russell, C. (2021). Enumerating 0-simple semigroups. DOI: 10.17630/STA/109.https://research-repository.st-andrews.ac.uk/handle/10023/23558.
  • Sloane, N. J. A. (2023). Sequence A009490. In: The On-Line Encyclopedia of Integer Sequences. OEIS Foundation Inc. http://oeis.org/A009490.

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