Add to ORKGThe first few chapters of the dissertation will catalogue what is known regarding z-ideals in commutative rings with identity. Some special attention will be paid to z-ideals in function rings to show how the presence of the topological description simplifies z-covers of arbitrary ideals. Conditions in an f-ring that ensure that the sum of z-ideals is a z-ideal will be given. In the latter part of the dissertation I will generalise a result in higher order z-ideals and introduce a notion of higher order d-idealsMathematical SciencesM. Sc. (Mathematics
Abstract. We characterize the z-ideals of the factor rings of C(X) via z-ideals of C(X). We show tha...
This book provides an introduction to the basics and recent developments of commutative algebra. A g...
Let X be a Tychonoff space and A(X) be a subring of C(X) containing C*(X). We introduce the notion o...
Semirings are a generalisation of rings where additive inverses need not exist. In this dissertation...
Semirings are a generalisation of rings where additive inverses need not exist. In this dissertation...
Let D be a principal ideal domain, p an irreducible element of D and m a nonzero positive integer. I...
If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K...
The main aim of this project is to learn a branch of Mathematics that studies commutative rings with...
In this paper it is shown that there is a large class of f-rings in which the sum of any two semipri...
In this thesis we survey and introduce some concepts of semirings, additive inversive semirings, and...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
In his study of spectra of f-rings via pointfree topology, Banaschewski [6] considers lattices of l-...
textThis report is a summarization and extension of previous work done by Dr. Efraim Armendariz, Uni...
This thesis exhibits a collection of proofs of theorems on ideals in a commutative ring with and wit...
AbstractThis paper determines which commutative orders have the property that every finitely generat...
Abstract. We characterize the z-ideals of the factor rings of C(X) via z-ideals of C(X). We show tha...
This book provides an introduction to the basics and recent developments of commutative algebra. A g...
Let X be a Tychonoff space and A(X) be a subring of C(X) containing C*(X). We introduce the notion o...
Semirings are a generalisation of rings where additive inverses need not exist. In this dissertation...
Semirings are a generalisation of rings where additive inverses need not exist. In this dissertation...
Let D be a principal ideal domain, p an irreducible element of D and m a nonzero positive integer. I...
If B is a ring (or module), and K is an ideal (or submodule) of B, let B(K) = {(a,b) є B x B:a-b є K...
The main aim of this project is to learn a branch of Mathematics that studies commutative rings with...
In this paper it is shown that there is a large class of f-rings in which the sum of any two semipri...
In this thesis we survey and introduce some concepts of semirings, additive inversive semirings, and...
This thesis will be an introduction to commutative ring theory, with an end goal of introducing comp...
In his study of spectra of f-rings via pointfree topology, Banaschewski [6] considers lattices of l-...
textThis report is a summarization and extension of previous work done by Dr. Efraim Armendariz, Uni...
This thesis exhibits a collection of proofs of theorems on ideals in a commutative ring with and wit...
AbstractThis paper determines which commutative orders have the property that every finitely generat...
Abstract. We characterize the z-ideals of the factor rings of C(X) via z-ideals of C(X). We show tha...
This book provides an introduction to the basics and recent developments of commutative algebra. A g...
Let X be a Tychonoff space and A(X) be a subring of C(X) containing C*(X). We introduce the notion o...