Classification of loops of generalized Bol-Moufang type. (Q2888135)
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scientific article; zbMATH DE number 6039632
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification of loops of generalized Bol-Moufang type. |
scientific article; zbMATH DE number 6039632 |
Statements
30 May 2012
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quasigroups
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Moufang loops
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Bol loops
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loop identities
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varieties of loops
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identities of Bol-Moufang type
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varieties of Bol-Moufang type
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varieties of commutative Bol-Moufang type
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Classification of loops of generalized Bol-Moufang type. (English)
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A classification of loops with identity of generalized Bol-Moufang type is given. The following results are obtained. There are 1215 non-trivial identities of generalized Bol-Moufang type, among them 1092 commutative identities. There are 48 classes of non-equivalent loop varieties of generalized Bol-Moufang type, among them 28 classes are new varieties.
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