Apery Sets of Numerical Semigroups

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dc.contributor.advisorWashington, Larry Cen_US
dc.contributor.advisorAdams, William Wen_US
dc.contributor.advisorRamachandran, Niranjanen_US
dc.contributor.authorMadero-Craven, Monica Graceen_US
dc.contributor.departmentMathematicsen_US
dc.date.accessioned2004-05-31T19:45:03Z
dc.date.available2004-05-31T19:45:03Z
dc.date.issued2003-12-09en_US
dc.description.abstractA numerical semigroup is a subset, S of the non-negative integers, Z+ which contains zero, is closed under addition, and whose complement in Z+ is finite. We discuss the basic properties of numerical semigroups as well as associated structures such as relative ideals. Further, we examine several finite subsets of S including the Apery Set and two of its subsets. Relationships between these subsets of S will allow us to give an equivalent definition for S to be symmetric as well as a necessary condition for S to be almost symmetric.en_US
dc.format.extent1055764 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/87
dc.language.isoen_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.subject.pqcontrolledMathematicsen_US
dc.titleApery Sets of Numerical Semigroupsen_US
dc.typeThesisen_US

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