Abstract
In 1975, Symons described the automorphisms of the semigroup T(X, Y) consisting of all total transformations from a set X into a fixed subset Y of X. Recently Sanwong, Singha and Sullivan determined all maximal (and all minimal) congruences on T(X, Y), and Sommanee studied Green's relations in T(X, Y). Here, we describe Green's relations and ideals for the semigroup T(V, W) consisting of all linear transformations from a vector space V into a fixed subspace W of V.
| Original language | English |
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| Pages (from-to) | 441-453 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 77 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2008 |