Lattice definability of semisimple finite-dimensional alternative algebras (Q1109869)
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scientific article; zbMATH DE number 4071152
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lattice definability of semisimple finite-dimensional alternative algebras |
scientific article; zbMATH DE number 4071152 |
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Lattice definability of semisimple finite-dimensional alternative algebras (English)
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1987
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Let A be a finite-dimensional semisimple alternative algebra of dimension more than one over an algebraically closed field F of characteristic not two, B be an arbitrary alternative algebra over F. If the lattice L(A) of all subalgebras of A is isomorphic to the corresponding lattice L(B), then A and B are isomorphic.
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lattice of subalgebras
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lattice isomorphism
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semisimple alternative algebra
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