Abstract
Let [n] = {1,…, n} be an n-chain. We give presentations for the following transformation semigroups: the semigroup of full order-decreasing mappings of [n], the semigroup of partial one-to-one order-decreasing mappings of [n], the semigroup of full order-preserving and order-decreasing mappings of [n], the semigroup of partial one-to-one order-preserving and order-decreasing mappings of [n], and the semigroup of partial order-preserving and order-decreasing mappings of [n].
Original language | English |
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Pages (from-to) | 417-426 |
Number of pages | 10 |
Journal | Czechoslovak Mathematical Journal |
Volume | 69 |
Issue number | 2 |
DOIs | |
Publication status | Published - Jun 1 2019 |
Externally published | Yes |
Keywords
- order-decreasing mapping
- order-preserving mapping
- presentation
- transformation semigroups
ASJC Scopus subject areas
- General Mathematics