Hereditary algebras that are not pure-hereditary
Frank Okoh;
Hereditary algebras that are not pure-hereditary
Let R be a hereditary finite-dimensional algebra of tame type. In this note it is shown that any pure-injective R-module contains an indecomposable direct summand. This result is used to prove that if R is not countable and the category of R-modules contains a full sub-category equivalent to the category of representations of A1 then R is not pure-hereditary.
- York University Canada
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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