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SEPARATING TILTING MODULES

章璞

1992中国科学通报:英文版Mathematics被引 1

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摘要

Let A be a basic, connected and finite-dimensional algebra over an algebraically closed field k. A tilting module A~T is called separating if the torsion theory (F(A~T), G(A~T)) induced by A~T is splitting in A-mod, i. e. any indecomposable module A~M belongs either to F(A~T) or to G(A~T). In this note we prove the following main result by using the representation theory of representation-infinite hereditary algebra.

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章璞. SEPARATING TILTING MODULES[J]. 中国科学通报:英文版, 1992.

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