Decompositions in lattices and some representations of algebras

DOI10.4064/DM392-0-1zbMath0985.06003OpenAlexW2058908431MaRDI QIDQ2760589

Andrzej Walendziak

Publication date: 13 December 2001

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/dm392-0-1

zbMATH Keywords

congruencesSchmidt-Ore theoremcongruence distributive algebrasdecomposition theory of latticesgeneralization of modularityKurosh-Ore theoremweak direct representations

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Structure theory of lattices (06B05) Lattice ideals, congruence relations (06B10) Subalgebras, congruence relations (08A30) Structure theory of algebraic structures (08A05) Modular lattices, Desarguesian lattices (06C05) Products, amalgamated products, and other kinds of limits and colimits (08B25) Subdirect products and subdirect irreducibility (08B26)

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