Minimal and near minimal congruence lattice representations of finite lattices by finite algebras on sets of integers

Author

Roger Lee Bunn

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 - Open 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.

Recommended 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