Semigroup Forum (2018) 96:603–607 https://doi.org/10.1007/s00233-017-9895-0 ERRATUM Erratum to: Algebras of Ehresmann semigroups and categories Itamar Stein Received: 4 May 2017 / Accepted: 30 July 2017 / Published online: 21 August 2017 © Springer Science+Business Media, LLC 2017 Erratum to: Semigroup Forum DOI 10.1007/s00233-016-9838-1 Shoufeng Wang discovered an error in the main theorem of the author’s Semigroup Forum article ‘Algebras of Ehresmann semigroups and categories’. Wang observed that the function we suggest as an isomorphism is not a homomorphism unless the semigroup being discussed is left restriction. In order to ﬁx our mistake, we will add this assumption. Note that our revised result is still a generalization of earlier work of Guo and Chen, the author, and Steinberg. 1 A correction to the main theorem of  Shoufeng Wang  has observed that the proof of [3, Theorem 3.4] does not hold without the additional assumption that the semigroup is left restriction. This Erratum shows how this assumption yields a valid result, and examines the consequences. Theorem 1.5, which is the revision of [3, Theorem 3.4], nevertheless generalizes [5, Theorem 4.2], [2, Theorem 4.2] and [4, Proposition 3.2]. We assume the reader is familiar with  and in particular with
Semigroup Forum – Springer Journals
Published: Aug 21, 2017
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