Doctoral Dissertations
Abstract
"We give finite congruence lattice representations of some finite distributive, modular and nonmodular lattices by means of finite algebras on sets of integers. These representations are minimal or near minimal as determined by ρ, a mapping from the class R of finitely representable lattices into the natural numbers N"--Abstract, page iii.
Advisor(s)
Insall, Matt
Committee Member(s)
Le, Vy Khoi
Grow, David E.
Hale, Barbara N.
Morgan, Ilene H.
Department(s)
Mathematics and Statistics
Degree Name
Ph. D. in Mathematics
Publisher
Missouri University of Science and Technology
Publication Date
Fall 2011
Pagination
xv, 311 pages
Note about bibliography
Includes bibliographical references (pages 307-310).
Rights
© 2011 Roger Lee Bunn, All rights reserved.
Document Type
Dissertation - Restricted Access
File Type
text
Language
English
Subject Headings
Congruence lattices
Congruence modular varieties
Finite fields (Algebra)
Lattice theory
Thesis Number
T 9893
Print OCLC #
795128336
Electronic OCLC #
922328366
Link to Catalog Record
Electronic access to the full-text of this document is restricted to Missouri S&T users. Otherwise, request this publication directly from Missouri S&T Library or contact your local library.
http://merlin.lib.umsystem.edu/record=b8622367~S5Recommended Citation
Bunn, Roger Lee, "Minimal and near minimal congruence lattice representations of finite lattices by finite algebras on sets of integers" (2011). Doctoral Dissertations. 1805.
https://scholarsmine.mst.edu/doctoral_dissertations/1805
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