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CHARACTERIZING MAPS OF MATRIX RINGS BY ACTION ON ZERO PRODUCTS
Author Info
Alharthi, Fawziah Mansour
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=kent1445996600
Abstract Details
Year and Degree
2015, MS, Kent State University, College of Arts and Sciences / Department of Mathematical Sciences.
Abstract
The purpose of this thesis is to describe the surjective additive maps preserving zero products, and the additive maps that behave like derivation when acting on zero products. In both parts, we consider the maps from a ring A = Mn(R); n ≥ 2 into itself, where R is a unital ring.
Committee
Mikhail Chebotar, Dr (Advisor)
Jenya Soprunova, Dr (Committee Member)
Dmitry Ryabogin, Dr (Committee Member)
Pages
32 p.
Subject Headings
Mathematics
Keywords
Maps preserving zero products
;
maps acting like derivations
;
functional identity
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Citations
Alharthi, F. M. (2015).
CHARACTERIZING MAPS OF MATRIX RINGS BY ACTION ON ZERO PRODUCTS
[Master's thesis, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1445996600
APA Style (7th edition)
Alharthi, Fawziah.
CHARACTERIZING MAPS OF MATRIX RINGS BY ACTION ON ZERO PRODUCTS.
2015. Kent State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=kent1445996600.
MLA Style (8th edition)
Alharthi, Fawziah. "CHARACTERIZING MAPS OF MATRIX RINGS BY ACTION ON ZERO PRODUCTS." Master's thesis, Kent State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=kent1445996600
Chicago Manual of Style (17th edition)
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Document number:
kent1445996600
Download Count:
507
Copyright Info
© 2015, some rights reserved.
CHARACTERIZING MAPS OF MATRIX RINGS BY ACTION ON ZERO PRODUCTS by Fawziah Mansour Alharthi is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. Based on a work at etd.ohiolink.edu.
This open access ETD is published by Kent State University and OhioLINK.