English

Rejection lemma and almost split sequences

Representation Theory 2022-01-19 v1 Rings and Algebras

Abstract

We study the behaviour of almost split sequences and \art quivers of an order under rejection of bijective modules. In particular, we establish relations of stable categories and almost split sequences for an order AA and the order AA' obtained from AA by such rejection. These results are specified for Gorenstein and Frobenius cases.

Cite

@article{arxiv.2004.01911,
  title  = {Rejection lemma and almost split sequences},
  author = {Yuriy A. Drozd},
  journal= {arXiv preprint arXiv:2004.01911},
  year   = {2022}
}

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23 pages