Let L be a lattice. For x ∈ L, we say x is a consistent join-irreducible if x V y is a join-irreducible of the lattice [y,1] for all y in L. We say L is consistent if every join-irreducible of L is consistent. In this dissertation, we study the notion of consistent elements in semimodular lattices.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc331688 |
| Date | 05 1900 |
| Creators | Race, David M. (David Michael) |
| Contributors | Kung, Joseph P. S., Bator, Elizabeth M., Brand, Neal E., Lewis, Paul Weldon |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 66 leaves: ill., Text |
| Rights | Public, Race, David M. (David Michael), Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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