Let R be an associative, hereditary algebra over a finite field k, and let .R-fin be the full subcategory qf R-mod whose objects are those left R-modules X which are finite as sets, |X|<∞. Assume also that R is finitary in C. Ringel's sense, i.e. that |Ex.t1](S,S')|< ∞for all simple S,S' in R-frn; this condition is met, for example, if ft is finitely generated as A-algebra [4, pp. 435,436].
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机译：令R为有限域k上的关联遗传代数，令.R-fin为全子类别qf R-mod，其对象为作为集合有限的那些左R-模X，| X | <∞。还假设R在C. Ringel的意义上是最终的，即R-frn中所有简单S，S'的| Ex.t1]（S，S'）| <∞;例如，如果将ft有限地生成为A代数[4，pp。435,436]，则满足此条件。
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