Representation of homomorphisms between submodule lattices

DOI10.1007/BF03322378zbMath0627.16023MaRDI QIDQ581519

Ulrich Brehm

Publication date: 1987

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Morita equivalencesubmodule latticeslattice isomorphismjoin preserving lattice homomorphismR-balanced mapping

Mathematics Subject Classification ID

Structure theory of lattices (06B05) Other classes of modules and ideals in associative algebras (16D80) Representation theory of associative rings and algebras (16Gxx)

Related Items (5)

Algebraic representation of mappings between submodule lattices. ⋮ Algebraic representation of mappings between submodule lattices. ⋮ Global-affine morphisms of projective lattice geometries ⋮ Generators for complemented modular lattices and the von Neumann-Jónsson coordinatization theorems ⋮ Diameter preserving bijections between Grassmann spaces over Bezout domains

Cites Work

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• Inducing lattice maps by semilinear isomorphisms
• Modulare Verbände mit Punktsystem
• A note on the fundamental theorem of projective geometry
• Fundamental theorem of projective geometry
• Lattice Isomorphisms between Modules (1) Endomorphism Rings^∗
• Algebraic representation of mappings between submodule lattices.

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