Direct sums of reflexive modules (Q1913655)
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scientific article; zbMATH DE number 881696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Direct sums of reflexive modules |
scientific article; zbMATH DE number 881696 |
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Direct sums of reflexive modules (English)
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9 December 1996
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The authors consider reflexive modules over algebras in the sense of their previous paper [Can. J. Math. 41, No. 4, 592-611 (1989; Zbl 0684.16020)]. Specifically, they address the problem of when direct sums of reflexive modules are reflexive. They show that this is the case for algebras termed locally left distributive, a class that includes the serial algebras, among others. On the other hand, reflexivity is not preserved by direct sums if the quiver of the algebra contains a triple arrow.
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locally left distributive algebras
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direct sums of reflexive modules
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serial algebras
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quivers
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