The Act Of An Operator

Samira Naji  Kadhim; Zainab Abed Atiya

doi:10.21123/bsj.2016.13.2.0388

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Publication Date

Sun Jun 05 2016

Journal Name

Baghdad Science Journal

Volume

13

Issue Number

2

DOI

10.21123/bsj.2016.13.2.0388

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The Act Of An Operator

"faithful act

finitely generated act

singular act

separated act

torsion free act

noetherian act."

Samira Naji Kadhim

Zainab Abed Atiya

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In this paper we will study some of the properties of an operator by looking at the associated S-act of this operator, and conversely. We look at some operators, like one to one operators, onto operators. On the other hand, we look at some act theoretic concepts, like faithful acts, finitely generated acts, singular acts, separated acts, torsion free acts and noetherian acts. We try to determine what properties of T make the associated S-act has any of these properties.

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