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On maps preserving products

Abstract Details

2020, PHD, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
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.
Mikhail Chebotar (Advisor)
47 p.

Recommended Citations

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)