Standard Closure Operations on Several Rings of Dimension One

There are numerous results regarding the cardinality of the set of star and semistar operations on a domain R. However the cardinality of the set of such operations has only just begun to be examined in the non-domain setting. Epstein has shown a correspondence between the set of finite-type semistar operations of a ring and the finite-type standard closures of a ring. I will classify the set of finite-type standard closures on several rings of dimension one.

Name thesis:degree_name

Mathematics

Level thesis:degree_level

Doctoral

Discipline thesis:degree_discipline

Mathematics & Statistics

Year

2016

Author dc:creator

• Morre, Gregory

Contributors dc:contributor

• Vassilev, Janet
• Janet Vassilev
• Alexandru Buium
• James Degnan
• Lance Miller

• closure operation
• standard
• semistar
• weakly prime
• commutative ring

Language dc:language

English

Identifier

https://digitalrepository.unm.edu/math_etds/34

OAI identifier oai:identifier

oai:digitalrepository.unm.edu:math_etds-1033