On a ring associated to F[x].

dc.contributor.advisor	Dugas, Manfred.
dc.contributor.author	Aceves, Kelly Fouts.
dc.contributor.department	Mathematics.	en_US
dc.contributor.schools	Baylor University. Dept. of Mathematics.	en_US
dc.date.accessioned	2013-09-24T14:01:41Z
dc.date.available	2013-09-24T14:01:41Z
dc.date.copyright	2013-08
dc.date.issued	2013-09-24
dc.description.abstract	For a ﬁeld F and the polynomial ring F [x] in a single indeterminate, we deﬁne Ḟ [x] = {α ∈ End_F(F [x]) : α(ƒ) ∈ ƒF [x] for all ƒ ∈ F [x]}. Then Ḟ [x] is naturally isomorphic to F [x] if and only if F is inﬁnite. If F is ﬁnite, then Ḟ [x] has cardinality continuum. We study the ring Ḟ[x] for ﬁnite ﬁelds F. For the case that F is ﬁnite, we discuss many properties and the structure of Ḟ [x].	en_US
dc.description.degree	Ph.D.	en_US
dc.identifier.uri	http://hdl.handle.net/2104/8807
dc.language.iso	en_US	en_US
dc.publisher		en
dc.rights	Baylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact librarywebmaster@baylor.edu for inquiries about permission.	en_US
dc.rights.accessrights	Worldwide access	en_US
dc.subject	Finite field.	en_US
dc.subject	Polynomial ring.	en_US
dc.subject	Endomorphism ring.	en_US
dc.subject	Properties of a ring.	en_US
dc.subject	Chinese remainder theorem.	en_US
dc.title	On a ring associated to F[x].	en_US
dc.type	Thesis	en_US

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