Topics on z-ideals of commutative rings

Tlharesakgosi, Batsile

dc.contributor.advisor	Ighedo, Oghenetega
dc.contributor.advisor	Dube, T. A.
dc.contributor.author	Tlharesakgosi, Batsile
dc.date.accessioned	2018-02-19T07:15:37Z
dc.date.available	2018-02-19T07:15:37Z
dc.date.issued	2017-08
dc.date.submitted	2018-02
dc.identifier.citation	Tlharesakgosi, Batsile (2017) Topics on z-ideals of commutative rings, University of South Africa, Pretoria, <http://hdl.handle.net/10500/23619>
dc.identifier.uri	http://hdl.handle.net/10500/23619
dc.description.abstract	The 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-ideals	en
dc.format.extent	1 online resource (vii, 54 leaves)
dc.language.iso	en	en
dc.subject	Commutative ring	en
dc.subject	Z-ideal	en
dc.subject	D-ideal	en
dc.subject	Minimal prime ideal	en
dc.subject	Radical ideal	en
dc.subject	F-ring	en
dc.subject	Von Neumann regular ring	en
dc.subject	Higher order z-ideal	en
dc.subject	Higher order d-ideal	en
dc.subject	D-termination	en
dc.subject.ddc	512.44
dc.subject.lcsh	Ideals (Algebra)	en
dc.subject.lcsh	Commutative rings	en
dc.subject.lcsh	Von Neumann algebras	en
dc.title	Topics on z-ideals of commutative rings	en
dc.type	Dissertation	en
dc.description.department	Mathematical Sciences	en
dc.description.degree	M. Sc. (Mathematics)