MAXIMAL PROPERTIES OF SOME SUBSEMIBANDS OF ORDER-PRESERVING FULL TRANSFORMATIONS

Title & Authors
MAXIMAL PROPERTIES OF SOME SUBSEMIBANDS OF ORDER-PRESERVING FULL TRANSFORMATIONS
Zhao, Ping; Yang, Mei;

Abstract
Let [$\small{n}$]
Keywords
order-preserving full transformation semigroup;maximal subsemiband;maximal regular subsemiband;locally maximal subsemiband;locally maximal regular subsemiband;
Language
English
Cited by
1.
On the semigroups of order-preserving transformations generated by idempotents of rank n −1, Journal of Algebra and Its Applications, 2017, 16, 02, 1750023
2.
Maximal Regular Subsemibands of the Finite Order-Preserving Partial Transformation Semigroups $$\mathcal {PO}(n,r)$$ PO ( n , r ), Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40, 3, 1175
References
1.
A. Ya. Aizenstat, The defining relations of the endomorphism semigroup of a finite linearly ordered set, Sibirsk. Mat. 3 (1962), 161-169.

2.
G. U. Garba, On the idempotent ranks of certain semigroups of order-preserving transformations, Portugal. Math. 51 (1994), no. 2, 185-204.

3.
G. M. S. Gomes and J. M. Howie, On the ranks of certain semigroups of order-preserving transformations, Semigroup Forum 45 (1992), no. 3, 272-282.

4.
P. M. Higgins, Idempotent depths in semigroups of order-preserving mappings, Proc. Roy. Soc. Edinburgh Sect. A 124 (1994), no. 5, 1045-1058.

5.
J. M. Howie, Products of idempotents in certain semigroups of transformation, Proc. Edinburgh Math. Soc. 17 (1971), 223-236.

6.
A. Laradji and A. Umar, Combinatorial results for semigroups of order-preserving full transformations, Semigroup Forum 62 (2006), no. 1, 51-62.

7.
F. Pastijin, Embedding semigroups in semibands, Semigroup Forum 14 (1977), no. 3, 247-263.

8.
A. Umar, On the semigroups of order-decreasing finite full transformations, Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), no. 1-2, 129-142.

9.
B. Xu, P. Zhao, and J. Y. Li, Locally maximal idempotent-generated subsemigroups of singular order-preserving transformation semigroups, Semigroup Forum 72 (2006), no. 3, 488-492.

10.
X. L. Yang, On the nilpotent ranks of the principal factors of order-preserving transfor-mation semigroups, Semigroup Forum 57 (1998), no. 3, 331-340.

11.
X. L. Yang, Products of idempotents of defect 1 in certain semigroups of transformations, Comm. Algebra 27 (1999), no. 7, 3557-3568.

12.
X. L. Yang and C. H. Lu, Maximal properties of some subsemigroups in finite order-preserving transformation semigroups, Comm. Algebra 28 (2000), no. 7, 3125-3135.

13.
P. Zhao, B. Xu, and M. Yang, A note on maximal properties of some subsemigroups of order-preserving transformation semigroups, Comm. Algebra 40 (2012), no. 3, 1116-1121.