Properties of Extended and Contracted Ideals Page: 1
iii, 49 leavesView a full description of this thesis.
Extracted Text
The following text was automatically extracted from the image on this page using optical character recognition software:
CHAPTER I
PROrSRTIES OP IDEALS
This paper presents an introduction to the theory of
ideals in a ring with emphasis on ideals in a commutative
ring with identity.
Basic definitions and properties of ideals are given
and these properties are studied in the classes of ideals
called extended and contracted ideals* The ideal structure
in quotient rings is inve . irated with respect to the ideal
structure of the rings c/er which they lie and theorems are
provided to show applications of the theory developed.
Definition 1-1. A set is a collection of objects;
these objects are called elements of the set.
Definition 1-2,, A binary operation "o" on a set A is a
correspondence that associates with each ordered pair (a,b)
of elements of A a uniquely determined element a o b of A.
Notation;
Small letters will denote the elements of a set and
capital letters will denote sets.
Upcoming Pages
Here’s what’s next.
Search Inside
This thesis can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Thesis.
Chan, George. Properties of Extended and Contracted Ideals, thesis, August 1966; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc130706/m1/4/: accessed July 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .