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Semi-tilting complexes

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Abstract

We introduce the notion of semi-tilting complexes, which is a small generalization of tilting complexes. Interesting examples include APR-semitilting complexes, etc. Note that non-trivial semi-tilting complexes exist for any non-semisimple non-local artin algebras, while tilting complexes may not. We extend interesting results in the tilting theory to semi-tilting complexes. As corollaries, we also obtain some new characterizations of tilting complexes.

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Authors and Affiliations

  1. Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing, 210046, P.R.China

    Jiaqun Wei

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  1. Jiaqun Wei
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Correspondence to Jiaqun Wei.

Additional information

Supported by the National Science Foundation of China (Grant Nos. 10971099 and 11171149).

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Wei, J. Semi-tilting complexes. Isr. J. Math. 194, 871–893 (2013). https://doi.org/10.1007/s11856-012-0093-1

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  • DOI: https://doi.org/10.1007/s11856-012-0093-1

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