Two generalizations of homogeneity in groups with applications to regular semigroups
Let X be a finite set such that |X| = n and let i 6 j 6 n. A group G 6 Sn is said to be (i, j)-homogeneous if for every I, J ⊆ X, such that |I| = i and |J| = j, there exists g ∈ G such that Ig ⊆ J. (Clearly (i, i)-homogeneity is i-homogeneity in the usual sense.) A group G 6 Sn is said to have the k...
Main Author: | |
---|---|
Other Authors: | |
Format: | article |
Language: | eng |
Published: |
2015
|
Subjects: | |
Online Access: | http://hdl.handle.net/10400.2/3811 |
Country: | Portugal |
Oai: | oai:repositorioaberto.uab.pt:10400.2/3811 |