@article{4a649c38ae6449ba8228627e7bf486a1,
title = "A classification of disjoint unions of two or three copies of the free monogenic semigroup",
abstract = "We prove that, up to isomorphism and anti-isomorphism, there are only two semigroups which are the union of two copies of the free monogenic semigroup. Similarly, there are only nine semigroups which are the union of three copies of the free monogenic semigroup. We provide finite presentations for each of these semigroups.",
keywords = "Semigroups, Abstract Algebra",
author = "N. Abu-Ghazalh and Mitchell, {J. D.} and Y. P{\'e}resse and N. Ru{\v s}kuc",
note = "This is the accepted manuscript version of the following article: N. Abu-Ghazalh, J. D. Mitchell, Y. P{\'e}resse, and N. Ru{\v s}kuc, “A classification of disjoint unions of two or three copies of the free monogenic semigroup”, Semigroup Forum, Vol. 91(1): 53-61, December 2014. The final published version is available at: https://link.springer.com/article/10.1007/s00233-014-9638-4 {\textcopyright} Springer Science+Business Media New York 2014",
year = "2015",
month = aug,
day = "1",
doi = "10.1007/s00233-014-9638-4",
language = "English",
volume = "91",
pages = "53--61",
journal = "Semigroup Forum",
issn = "0037-1912",
publisher = "Springer Nature",
number = "1",
}