, The D-standard and K-standard categories,

Chen, Xiao-Wu USTC Ye, Yu USTC

Rings and Algebras mathscidoc:1903.31001

Adv. Math., 2018.5
We introduce the notions of a D-standard abelian category and a K-standard additive category. We prove that for a finite dimensional algebra A, its module category is D-standard if and only if any derived autoequivalence on Ais standard, that is, isomorphic to the derived tensor functor by a two-sided tilting complex. We prove that if the subcategory of projective A-modules is K-standard, then the module category is D-standard. We provide new examples of D-standard module categories.
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  title={, The D-standard and K-standard categories,},
  author={Chen, Xiao-Wu, and Ye, Yu},
  booktitle={Adv. Math.},
Chen, Xiao-Wu, and Ye, Yu. , The D-standard and K-standard categories,. 2018. In Adv. Math.. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190319211614497829208.
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