Original Articles

Structural matrix algebras related to finite distributive lattices

Published in: Quaestiones Mathematicae
Volume 37 , issue 2 , 2014 , pages: 291–302

DOI: 10.2989/16073606.2013.779606

Author(s): E. Akkurt Gebze Institute of Technology, Turkey , M. Akkurt Gebze Institute of Technology, Turkey , G.P. Barker University of Missouri, Kansas City, USA

Keywords: Structural matrix algebra , invariant subspace , finite distributive lattice , Structural matrix algebra , invariant subspace , finite distributive lattice

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Abstract

In this paper, we investigate the relation between a structural matrix algebra and the lattice properties of its lattice of invariant subspaces, and reprove known results in a fresh and an explanatory way. Moreover, we also prove the theorem which is partially converse of Proposition 2.6 of [15].

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