Orthogonality and complementation in the lattice of subspaces of a finite vector space

We investigate the lattice $<b> L</b>(<b> V</b>)$ of subspaces of an $m$-dimensional vector space $<b> V</b>$ over a finite field ${\rm GF}(q)$ with a prime power $q=p^n$ together with the unary operation of orthogonality. It is well-known that this lattice is mod...

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Bibliographic Details
Main Authors: Ivan Chajda, Helmut Länger
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2022-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/147/2/mb147_2_1.pdf