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Small lattices

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Item Summary

dc.contributor.advisor Freese, Ralph
dc.contributor.author Heeney, Xiang Xia Huang
dc.date.accessioned 2013-02-06T20:28:15Z
dc.date.available 2013-02-06T20:28:15Z
dc.date.issued 2000
dc.identifier.uri http://hdl.handle.net/10125/25936
dc.description viii, 87 leaves, bound : ill. ; 29 cm.
dc.description Thesis (Ph. D.)--University of Hawaii at Manoa, 2000.
dc.description.abstract This dissertation introduces triple gluing lattices and proves that a triple gluing lattice is small if the key subcomponents are small. Then attention is turned to triple gluing irreducible small lattices. The triple gluing irreducible [Special characters omitted.] lattices are introduced. The conditions which insure [Special characters omitted.] small are discovered. This dissertation also give some triple gluing irreducible small lattices by gluing [Special characters omitted.] 's. Finally, K-structured lattices are introduced. We prove that a K-structured lattice L is triple gluing irreducible if and only if [Special characters omitted.] . We prove that no 4-element antichain lies in u 1 /v1 of a K-structured small lattice. We also prove that some special lattices with 3-element antichains can not lie in u1 /v1 of a K-structured small lattice.
dc.format.extent viii, 87 leaves
dc.language en-US
dc.publisher University of Hawaii at Manoa
dc.relation Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics ; no. 3928
dc.rights All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
dc.subject Lattice theory.
dc.title Small lattices
dc.type Thesis
dc.type.dcmi Text
local.identifier.callnumber AC1 .H3 no.3928
local.thesis.degreelevel PhD
local.thesis.department Mathematics
Appears in Collections: Ph.D. - Mathematics
Ph.D. Dissertations- Mathematics Department


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