Green's relations and partial orders on semigroups of partial linear transformations with restricted range

Let V be any vector space and P(V) the set of all partial linear transformations defined on V, that is, all linear transformations α: S → T where S; T are subspaces of V. Then P(V) is a semigroup under composition. Let W be a subspace of V. We define PT(V;W) = {α ∈ P(V): Vα ⊆ W}. So PT(V,W) is a sub...

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Bibliographic Details
Main Authors: Kritsada Sangkhanan, Jintana Sanwong
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84896301309&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/53679
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Institution: Chiang Mai University
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