A representation of \({\mathfrak m}\)-algebraic lattices (Q1337157)
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scientific article; zbMATH DE number 679607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A representation of \({\mathfrak m}\)-algebraic lattices |
scientific article; zbMATH DE number 679607 |
Statements
A representation of \({\mathfrak m}\)-algebraic lattices (English)
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30 October 1994
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A new, shorter proof is given to an important theorem of G. Grätzer and E. T. Schmidt in representation theory: Let \({\mathfrak m}\) be a regular cardinal \(>\aleph_0\). Every \({\mathfrak m}\)-algebraic lattice \(L\) is isomorphic to the lattice of \({\mathfrak m}\)-complete congruence relations of a suitable \({\mathfrak m}\)-complete modular lattice \(K\).
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regular cardinal
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\({\mathfrak m}\)-algebraic lattice
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\({\mathfrak m}\)-complete congruence relations
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\({\mathfrak m}\)-complete modular lattice
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