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- Title
The monoid of all orientation-preserving and extensive full transformations on a finite chain.
- Authors
Li, De Biao; Zhang, Wen Ting; Luo, Yan Feng
- Abstract
Let ℰ n be the monoid of all orientation-preserving and extensive full transformations on { 1 , 2 , ... , n } ordered in the standard way. In this paper, we determine the minimum generating set and the minimum idempotent generating set of ℰ n , and so the rank and the idempotent rank of ℰ n are obtained. Moreover, we describe maximal subsemigroups and maximal idempotent generated subsemigroups of ℰ n and completely obtain their classifications.
- Subjects
FINITE, The; CLASSIFICATION
- Publication
Journal of Algebra & Its Applications, 2022, Vol 21, Issue 5, p1
- ISSN
0219-4988
- Publication type
Article
- DOI
10.1142/S0219498822501055