HOMOGENEOUS BIJECTIONS THAT INDUCE AUTOMORPHISMS OF THE SUBMODULE LATTICE

DOI10.1081/AGB-200064350zbMath1113.16002MaRDI QIDQ5699897

Marcel Wild

Publication date: 27 October 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

lattices of submodulesmodular latticesprojective geometrymodules of finite lengthlattice automorphismshomogeneous maps

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Complemented modular lattices, continuous geometries (06C20) General module theory in associative algebras (16D10) Lattices of subspaces and geometric closure systems (51D25)

Related Items (1)

The fundamental theorem of projective geometry for an arbitrary length two module.

Cites Work

• Unnamed Item
• Join epimorphisms which preserve certain lattice identities
• Structural matrix algebras and their lattices of invariant subspaces
• When are homogeneous functions linear? A lattice point of view.
• Forcing linearity numbers
• Acyclic modular lattices and their representations

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