Nonassociative Boolean ring varieties (Q1180655)
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scientific article; zbMATH DE number 26268
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonassociative Boolean ring varieties |
scientific article; zbMATH DE number 26268 |
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Nonassociative Boolean ring varieties (English)
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27 June 1992
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The author gives the foundations of the algebraic theory of nonassociative Boolean rings (i.e. of idempotent not necessarily associative rings). A nonassociative ring without nonzero divisors is called a domain. The author proves that every nonassociative Boolean domain can be embedded into a Boolean quasifield. Special subvarieties of the variety of nonassociative Boolean rings are considered: nonassociative Boolean rings in which squaring is an automorphism, medial rings.
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algebraic theory of nonassociative Boolean rings
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Boolean domain
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Boolean quasifield
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variety
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medial rings
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