Identities common to four Abelian group operations with zero (Q1074611)
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scientific article; zbMATH DE number 3948355
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Identities common to four Abelian group operations with zero |
scientific article; zbMATH DE number 3948355 |
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Identities common to four Abelian group operations with zero (English)
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1985
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On every abelian group we have, besides the basic operation \(+\), three derived binary operations, and namely x-y, \(-x+y\), -x-y. In the paper, the corresponding varieties and some of their equivalents are investigated. A special attention is paid to finite bases of identities. Also, some generalizations for groupoids are mentioned.
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abelian group
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derived binary operations
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varieties
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finite bases of identities
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groupoids
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