Corrigendum on "Oriented transformations on a finite chain: another description" [Commun. Korean Math. Soc. 38 (2023), No. 3, pp. 725-731]

Citation:
Fernandes, Vítor H. "Corrigendum on "Oriented transformations on a finite chain: another description" [Commun. Korean Math. Soc. 38 (2023), No. 3, pp. 725-731]." Commun. Korean Math. Soc. (DOI 10.4134/CKMS.c240008; Online 12 July 2024) (2024).

Abstract:

In this note, we aim to correct some of the results presented in [1]. Namely, the statements of Proposition 2.1, Corollary 2.2, Corollary 2.3, Theorem 2.4 and Theorem 2.6, concerning only the monoids OP_n and POP_n, have to exclude transformations of rank two. All other results of [1], as well as those mentioned above but for the monoids OR_n and POR_n, do not require correction.

[1] V.H. Fernandes, Oriented transformations on a finite chain: another description, Commun. Korean Math. Soc. 38 (2023), 725-731.

Related External Link

arXiv:

https://arxiv.org/pdf/2403.12234.pdf