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On the number of ring homomorphisms over certain rings
Dissertant
Thesis advisor
Comitee Members
al-Tachman, Khalid
al-Kumi, Naim
University
Birzeit University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (West Bank)
Degree
Master
Degree Date
2014
English Abstract
The problem of nding the number of ring homomorphisms between rings of certain prop- erties has been studied only few times.
This thesis discusses the number of ring homomor- phisms over algebraic integers; starting with the rings of Gaussian integers (Zm[i] modulo m),where i2 = 1.
Over the ring of Eisenstein integers (Zm[] modulo m), where 2++1 = 0, and over rings of some algebraic integers , Zm[] for an algebraic integer with minimal polynomial p(x) = x2 +ux+v whose absolute radicand, (ju2 ?4vj = m), is a prime integer and Z[] is a UFD.
Among the results that have been found by previous researchers, in this thesis we give some generalizations to the problem.
The new "original" results, corollaries and theorems, have been marked with an asterisk
Main Subjects
Topics
No. of Pages
122
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Introduction.
Chapter One : Basic concepts.
Chapter Two : Main results.
Chapter Three : Conclusions and future work.
References.
American Psychological Association (APA)
Kuwkas, Sultan Amin Isa. (2014). On the number of ring homomorphisms over certain rings. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-620866
Modern Language Association (MLA)
Kuwkas, Sultan Amin Isa. On the number of ring homomorphisms over certain rings. (Master's theses Theses and Dissertations Master). Birzeit University. (2014).
https://search.emarefa.net/detail/BIM-620866
American Medical Association (AMA)
Kuwkas, Sultan Amin Isa. (2014). On the number of ring homomorphisms over certain rings. (Master's theses Theses and Dissertations Master). Birzeit University, Palestine (West Bank)
https://search.emarefa.net/detail/BIM-620866
Language
English
Data Type
Arab Theses
Record ID
BIM-620866