Auslander's Formula for contravariantly finite subcategories

Javad Asadollahi; Rasool Hafezi; Mohammad H. Keshavarz

Auslander's Formula for contravariantly finite subcategories

Representation Theory 2018-02-22 v2

Authors: Javad Asadollahi , Rasool Hafezi , Mohammad H. Keshavarz

Abstract

A relative version of Auslander's formula with respect to a contravariantly finite subcategory will be given. Dual version will be treated. Several examples and applications will be provided. In particular, we show that under certain circumstances, if relative Auslander algebras of artin algebras $\Lambda$ and $\Lambda'$ are Morita equivalent, then $\Lambda$ and $\Lambda'$ are also Morita equivalent.

Keywords

Auslander's formula contravariantly finite subcategory relative Auslander algebra artin algebra Morita equivalence

Cite

@article{arxiv.1701.00073,
  title  = {Auslander's Formula for contravariantly finite subcategories},
  author = {Javad Asadollahi and Rasool Hafezi and Mohammad H. Keshavarz},
  journal= {arXiv preprint arXiv:1701.00073},
  year   = {2018}
}

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Auslander's Formula for contravariantly finite subcategories

Abstract

Keywords

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