On the relationship of AP, RS and CEP in congruence modular varieties (Q1086271)
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scientific article; zbMATH DE number 3983245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the relationship of AP, RS and CEP in congruence modular varieties |
scientific article; zbMATH DE number 3983245 |
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On the relationship of AP, RS and CEP in congruence modular varieties (English)
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1986
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The main result is that a congruence modular variety has the congruence extension property provided it is residually small, has the amalgamation property, a free algebra on four generators with congruence lattice of finite length, and its subdirectly irreducibles satisfy two commutator identities (C2) and (R) valid in the distributive case.
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congruence modular variety
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congruence extension property
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residually small
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amalgamation property
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free algebra
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congruence lattice of finite length
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subdirectly irreducibles
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commutator identities
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