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Dissertation-2.pdf (273.58 KB)
ETD Abstract Container
Abstract Header
On maps preserving products
Author Info
Catalano, Louisa
ORCID® Identifier
http://orcid.org/0000-0002-8735-4658
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent1594320429310821
Abstract Details
Year and Degree
2020, PHD, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
Maps characterized by their action on some equal products have often been studied in Functional Analysis and Linear Algebra. We will describe maps that act like derivations, homomorphisms, and Jordan homomorphisms on certain equal products over a variety of algebras. In particular, we will describe bijective additive maps preserving equal products on division algebras, thus solving a problem posed by Chebotar, Ke, Lee, and Shiao in 2005.
Committee
Mikhail Chebotar (Advisor)
Pages
47 p.
Subject Headings
Mathematics
Keywords
noncommutative algebra, functional identities, linear preserver problems
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Citations
Catalano, L. (2020).
On maps preserving products
[Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1594320429310821
APA Style (7th edition)
Catalano, Louisa.
On maps preserving products.
2020. Kent State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent1594320429310821.
MLA Style (8th edition)
Catalano, Louisa. "On maps preserving products." Doctoral dissertation, Kent State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=kent1594320429310821
Chicago Manual of Style (17th edition)
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Document number:
kent1594320429310821
Download Count:
274
Copyright Info
© 2020, all rights reserved.
This open access ETD is published by Kent State University and OhioLINK.