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Abundance of the ideals of the order-preserving and decreasing full transformation semigroup.
- Source :
-
Semigroup Forum . Apr2022, Vol. 104 Issue 2, p480-493. 14p. - Publication Year :
- 2022
-
Abstract
- Let C n denote the order-preserving and decreasing full transformation semigroup on X n = { 1 , 2 , ... , n } . In this paper, first we describe each principal ideal of C n . Second, we discuss left and right abundance of the principal ideals of C n . Further, necessary and sufficient conditions for the principal ideals in C n to be abundant and regular are given. Finally, we study abundance of the ideals in C n . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00371912
- Volume :
- 104
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Semigroup Forum
- Publication Type :
- Academic Journal
- Accession number :
- 156526673
- Full Text :
- https://doi.org/10.1007/s00233-022-10255-9