Show simple item record

dc.contributor.authorPrice, Laurie
dc.date.accessioned2012-02-01T17:29:31Z
dc.date.available2012-02-01T17:29:31Z
dc.date.issued2012-02-01
dc.date.submittedDecember 2011
dc.identifier.urihttp://hdl.handle.net/1928/17447
dc.description.abstractWe examine the algebraic structure of closure, semiprime and prime operations on submonoids of natural numbers. We find that the closure operations under composition do not form a submonoid under composition. We also describe all the semiprime operations on natural numbers and show that they are a submonoid. We investigate the relations among the semiprime operations on ideals of the sub- semi-group (2, 3) and define which of these operations may form a monoid or a left act under composition. We also consider the algebraic structure of monoids with multiple maximal ideals and generalize these results to higher dimensions.en_US
dc.language.isoen_USen_US
dc.subjectClosure operationsen_US
dc.subjectMonoidsen_US
dc.subjectNatural numbersen_US
dc.subjectPrime operationsen_US
dc.subjectSemiprime operationsen_US
dc.subjectSubmonoidsen_US
dc.subject.lcshNumbers, Natural.
dc.subject.lcshClosure operators.
dc.subject.lcshMonoids.
dc.titleClosure operations on the submonoids of the natural numbersen_US
dc.typeThesisen_US
dc.description.degreeMathematicsen_US
dc.description.levelMastersen_US
dc.description.departmentUniversity of New Mexico. Dept. of Mathematics and Statisticsen_US
dc.description.advisorVassilev, Janet
dc.description.committee-memberVassilev, Dimiter
dc.description.committee-memberVassilev, Janet
dc.description.committee-memberBuium, Alex


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record