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Topics on z-ideals of commutative ringsTlharesakgosi, 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)
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