Morphisms determined by objects: The case of modules over artin algebras
Morphisms determined by objects: The case of modules over artin algebras
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DOI：
10.1215/ijm/1391178559
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发表时间：
2011-10
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影响因子：
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通讯作者：
C. Ringel
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文献类型：
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作者：
C. Ringel
我们研究Artin代数上的有限生成模。在他的《费城笔记》中，M.Auslander证明了任何同态都是由模C正确决定的，但他写下的C的一个公式必须修改。给出了关于态射右行列式的主要结果的完整而直接的证明。讨论了极小右行列式的不可分解投射直和的作用，并对不含任何非零投射直和的模所确定的态射进行了详细的分析。
We deal with finitely generated modules over an artin algebra. In his Philadelphia Notes, M.Auslander showed that any homomorphism is right determined by a module C, but a formula for C which he wrote down has to be modified. The paper includes now complete and direct proofs of the main results concerning right determiners of morphisms. We discuss the role of indecomposable projective direct summands of a minimal right determiner and provide a detailed analysis of those morphisms which are right determined by a module without any non-zero projective direct summand.