Right product quasigroups and loops. (Q2888139)
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scientific article; zbMATH DE number 6039636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Right product quasigroups and loops. |
scientific article; zbMATH DE number 6039636 |
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30 May 2012
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right product quasigroups
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right product loops
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axiomatization
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axiom independence
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word problem
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reproductive equation
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axiom systems
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math.GR
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0.8849741
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0.8842197
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Right product quasigroups and loops. (English)
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The authors investigate varieties of right quasigroups such that there is indeed a direct product decomposition. They find a system of identities which axiomatizes right product quasigroups, and use this to find axiom systems for right product (left, right) loops. In fact the authors obtain each of the latter by adjoining just one appropriate axiom. The authors also derive other properties of right product quasigroups and loops, and conclude the article by showing that the axioms for right product quasigroups are independent.
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