1. Introduction. In [8] G. J. Janusz showed that a p-block algebra A of a finite group G of finite representation type over a splitting field F with characteristic p > 0 is uniseriai if and only if every simple A-modulc M can uniquely be lifted to a simple A ?R S-module, where R is a complete discrete rank one valuation ring R with maximal ideal nR, residue class field F = RR, and quotient field S with characteristic zero, and where A is an G-block such that A s A ?RF. If A has at least two non-isomorphic simple modules, then using standard results of the theory of blocks with cyclic defect groups [5], p. 302, and J. A. Green's work [6] it can easily be seen that this liftability condition is equivalent to the requirements that Ext*(M, M) = (0) = Ext{M, M) for every simple A-module M.
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机译：1.简介。在[8]中，GJ Janusz证明，在且仅当每个简单的A模M可以唯一地提升为时，在具有p> 0的分裂场F上有限表示类型的有限群G的p块代数A是反等位的。一个简单的A？R S模块，其中R是具有最大理想nR的完整离散秩一估值环R，残基类别字段F = R / nR，特征字段S为特征零，其中A是G块这样A s A？RF。如果A具有至少两个非同构的简单模块，则使用具有循环缺陷组的块理论的标准结果[5]，p。 302和JA Green的工作[6]可以很容易地看出，对于每个简单的A模块M，该可提升性条件等于Ext *（M，M）=（0）= Ext {M，M）的要求。
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