TY - JOUR
T1 - Presentations for subsemigroups of PDn
AU - Umar, Abdullahi
N1 - Publisher Copyright:
© 2019, Mathematical Institute, Academy of Sciences of Cz.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - 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].
AB - 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].
KW - order-decreasing mapping
KW - order-preserving mapping
KW - presentation
KW - transformation semigroups
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U2 - 10.21136/CMJ.2018.0343-17
DO - 10.21136/CMJ.2018.0343-17
M3 - Article
AN - SCOPUS:85055253939
SN - 0011-4642
VL - 69
SP - 417
EP - 426
JO - Czechoslovak Mathematical Journal
JF - Czechoslovak Mathematical Journal
IS - 2
ER -