This thesis exhibits a collection of proofs of theorems on ideals in a commutative ring with and without a unity. Theorems treated involve properties of ideals under certain operations (sum, product, quotient, intersection, and union); properties of homomorphic mappings of ideals; contraction and extension theorems concerning ideals and quotient rings of domains with respect to multiplicative systems; properties of maximal, minimal, prime, semi-prime, and primary ideals; properties of radicals of ideals with relations to quotient rings, semi-prime, and primary ideals
Topics include: Rings, ideals, algebraic sets and affine varieties, modules, localizations, tensor p...
summary:Let $R$ be a commutative ring with identity. A proper ideal $I$ is said to be an $n$-ideal o...
Let R and S be commutative rings, not necessarily with identity. We investigate the ideals, prime id...
This thesis is a study of some properties of prime ideals in commutative rings with unity
This paper presents an introduction to the theory of ideals in a ring with emphasis on ideals in a c...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
This thesis investigates some of the properties of commutative rings which do not necessarily contai...
textThis report is a summarization and extension of previous work done by Dr. Efraim Armendariz, Uni...
The primary objective of this thesis is to present a unified account of the various generalizations ...
AbstractAll rings considered are commutative with identity and all ring extensions are unital. Let R...
In this work we will develop a study in the area of Commutative Algebra, which essentially deals wi...
The concept of prime ideals and its generalizations have a distinguished place in commutative algeb...
This book provides an introduction to the basics and recent developments of commutative algebra. A g...
Let R and S be commutative rings, not necessarily with identity. We investigate the ideals, prime id...
summary:Let $R$ be a commutative ring with identity. A proper ideal $I$ is said to be an $n$-ideal o...
Topics include: Rings, ideals, algebraic sets and affine varieties, modules, localizations, tensor p...
summary:Let $R$ be a commutative ring with identity. A proper ideal $I$ is said to be an $n$-ideal o...
Let R and S be commutative rings, not necessarily with identity. We investigate the ideals, prime id...
This thesis is a study of some properties of prime ideals in commutative rings with unity
This paper presents an introduction to the theory of ideals in a ring with emphasis on ideals in a c...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
This thesis investigates some of the properties of commutative rings which do not necessarily contai...
textThis report is a summarization and extension of previous work done by Dr. Efraim Armendariz, Uni...
The primary objective of this thesis is to present a unified account of the various generalizations ...
AbstractAll rings considered are commutative with identity and all ring extensions are unital. Let R...
In this work we will develop a study in the area of Commutative Algebra, which essentially deals wi...
The concept of prime ideals and its generalizations have a distinguished place in commutative algeb...
This book provides an introduction to the basics and recent developments of commutative algebra. A g...
Let R and S be commutative rings, not necessarily with identity. We investigate the ideals, prime id...
summary:Let $R$ be a commutative ring with identity. A proper ideal $I$ is said to be an $n$-ideal o...
Topics include: Rings, ideals, algebraic sets and affine varieties, modules, localizations, tensor p...
summary:Let $R$ be a commutative ring with identity. A proper ideal $I$ is said to be an $n$-ideal o...
Let R and S be commutative rings, not necessarily with identity. We investigate the ideals, prime id...