Semigroups of injective partial linear transformations with restricted range: Green's relations and partial orders

• Main Authors: Sangkhanan K., Sanwong J.
• Format: Article
• Language: English
• Published: 2014
• Online Access: http://www.scopus.com/inward/record.url?eid=2-s2.0-84869017393&partnerID=40&md5=db97695e77cb9ad240ff61529d683f09; http://cmuir.cmu.ac.th/handle/6653943832/6941
• Institution: Chiang Mai University

Let V be any vector space and I(V) the set of all partial injective linear transformations defined on V, that is, all injective linear transformations α: A → B where A, B are subspaces of V. Then I(V) is a semigroup under composition. Let W be a subspace of V. Define I(V, W)={α∈ I(V): V α ⊆ W}. So I...