On multiplicative bases in quasi-Frobenius algebras (Q800459)
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scientific article; zbMATH DE number 3875476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On multiplicative bases in quasi-Frobenius algebras |
scientific article; zbMATH DE number 3875476 |
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On multiplicative bases in quasi-Frobenius algebras (English)
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1984
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A finite dimensional algebra R over an algebraically closed field K is called regular provided every indecomposable projective, left or right, R-module has only finitely many submodules. In this note one gives a simple and new proof of the fact that a wide class of regular quasi- Frobenius algebras, containing those of finite-representation type, has a multiplicative basis, that is, a basis B with \(B\cup\{0\}\) multiplicatively closed.
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finite dimensional algebra
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indecomposable projective
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regular quasi- Frobenius algebras
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finite-representation type
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multiplicative basis
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