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On inverse subsemigroups of the semigroup of orientation-preserving or orientation-reversing transformations
It is well-known [16] that the semigroup Tn of all total transformations of a given n-element set Xn is covered by its inverse subsemigroups. This note provides a short and direct proof, based on properties of digraphs of transformations, that every inverse subsemigroup of order-preserving transform...
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Main Authors: | Catarino, P., Higgins, P.M., Levi, I. |
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Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2015
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Series: | Algebra and Discrete Mathematics |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/154250 |
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