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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Topics on z-ideals of commutative rings

Tlharesakgosi, Batsile 02 1900 (has links)
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 / Mathematical Sciences / M. Sc. (Mathematics)
Commutative ring
Z-ideal
D-ideal
Minimal prime ideal
Radical ideal
F-ring
Von Neumann regular ring
Higher order z-ideal
Higher order d-ideal
D-termination
512.44
Ideals (Algebra)
Commutative rings
Von Neumann algebras

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