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ON COMMUTING MAPS OVER THE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES

Bounds, Jordan C
http://rave.ohiolink.edu/etdc/view?acc_num=kent1462309150

Abstract Details

2016, MS, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Let R be a ring. A map f over R is said to be commuting if each x in R commutes with its image under f. In this thesis, we provide a brief examination of the development of the theory of commuting maps. We then provide a characterization of all linear commuting maps over the nilpotent algebra of strictly upper triangular matrices with elements in a field of characteristic zero.
Mikhail Chebotar, Dr. (Advisor)
Artem Zvavitch, Dr. (Committee Member)
Jenya Soprunova, Dr. (Committee Member)
22 p.
Mathematics
commuting maps; upper triangular matrices

Recommended Citations

Citations

  • Bounds, J. C. (2016). ON COMMUTING MAPS OVER THE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES [Master's thesis, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1462309150

    APA Style (7th edition)

  • Bounds, Jordan. ON COMMUTING MAPS OVER THE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES. 2016. Kent State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1462309150.

    MLA Style (8th edition)

  • Bounds, Jordan. "ON COMMUTING MAPS OVER THE ALGEBRA OF STRICTLY UPPER TRIANGULAR MATRICES." Master's thesis, Kent State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=kent1462309150

    Chicago Manual of Style (17th edition)

kent1462309150
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This open access ETD is published by Kent State University and OhioLINK.