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A new approach to a network of congruences on an inverse semigroup

Crossref DOI link: https://doi.org/10.1007/s00233-019-09993-0

Published Online: 2019-03-14

Published Print: 2019-10

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Feng, Ying-Ying

Wang, Li-Min

Zhang, Lu

Huang, Hai-Yuan
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Text and Data Mining valid from 2019-03-14
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Article History

Received: 22 April 2018

Accepted: 7 January 2019

First Online: 14 March 2019

Change Date: 3 April 2019

Change Type: Correction

Change Details: Article was updated to delete “Petrich” from the following sentence: (11) ⇒ (7). Since <Emphasis Type="Italic">αn</Emphasis> + 1 ∩ <Emphasis Type="Italic">L</Emphasis> = <Emphasis Type="Italic">ε</Emphasis>, by [3, Proposition III.4.2] we have that <Emphasis Type="Italic">α</Emphasis><Subscript><Emphasis Type="Italic">n</Emphasis> + 1</Subscript> is idempotent pure and thus <Emphasis Type="Italic">α</Emphasis><Subscript><Emphasis Type="Italic">n</Emphasis> + 1</Subscript> ⊆ <Emphasis Type="Italic">τ</Emphasis>.