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Wild tilted algebras revisited

1997
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Colloquium Mathematicum
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In this paper wild tilted algebras are studied. Following [6] an algebra B is called tilted (of type A) if there exists a finite-dimensional hereditary algebra A over some field k and a tilting module T in the category A-mod of finite-dimensional left A-modules with B = End A (T ). The tilting module T has a structure as an (A, B)-bimodule and induces in B-mod a splitting torsion pair (X , Y), where the torsion-free class Y is the full subcategory of B-mod, defined by the objects M with Tor 1 B

doi:10.4064/cm-73-1-67-81
fatcat:uv62gzdqnfeahn3ytfziqyerre