On the number of ring homomorphisms over certain rings

Dissertant

Kuwkas, Sultan Amin Isa

Thesis advisor

Salih, Muhammad

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

Mathematics

Topics

• Algebraic fields

No. of Pages

122

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-620866