Specht's problem in \(\epsilon\)-algebras (Q792439)
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scientific article; zbMATH DE number 3853323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Specht's problem in \(\epsilon\)-algebras |
scientific article; zbMATH DE number 3853323 |
Statements
Specht's problem in \(\epsilon\)-algebras (English)
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1984
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Let B be a commutative (an anticommutative) algebra over a field of characteristic zero with basis \(e_ 1,e_ 2,e_ 3,e_ 4,e_ 5\) defined by the multiplication table \(e_ 1e_ 5=e_ 1e_ 3=e_ 2e_ 3=e_ 1\), \(e_ 1e_ 4=e_ 2e_ 4=e_ 2e_ 5=e_ 2\); the remaining products \(e_ ie_ j=0\) (1\(\leq i\leq j\leq 5)\). It is proved that the algebra B has an infinite basis of identities.
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Specht problem
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five dimensional algebra
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commutative and anticommutative algebra
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infinite basis of identities
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