Abstract
We consider the endomorphisms of a Brandt semigroup B_n, and the semigroup of mappings E(B_n) that they generate
under pointwise composition. We describe all the elements of this semigroup, determine Green's relations, consider
certain special types of mapping which we can enumerate for each n, and give a complete calculations
for the size of E(B_n) for small n.
under pointwise composition. We describe all the elements of this semigroup, determine Green's relations, consider
certain special types of mapping which we can enumerate for each n, and give a complete calculations
for the size of E(B_n) for small n.
| Original language | English |
|---|---|
| Pages (from-to) | 4028-4041 |
| Number of pages | 14 |
| Journal | Communications in Algebra |
| Volume | 38 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2010 |