SEPARATING TILTING MODULES
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.
引用本文(GB/T 7714)
章璞. SEPARATING TILTING MODULES[J]. 中国科学通报:英文版, 1992.
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