THE INGALLS-THOMAS BIJECTIONS

Yıl 2016, Cilt: 20 Sayı: 20, 28 - 44, 01.12.2016

M. A. A. Obaid S. K. Nauman W. M. Fakieh C. M. Ringel

https://doi.org/10.24330/ieja.266182

Cited By: 1

Öz

Given a finite acyclic quiver Q with path algebra Λ, Ingalls and
Thomas have exhibited a bijection between the set of Morita equivalence
classes of support-tilting modules and the set of thick subcategories of mod Λ
with covers, and they have collected further bijections with these sets. We add
some additional bijections and show that all these bijections hold for arbitrary
hereditary artin algebras. The proofs presented here seem to be of interest
also in the special case of the path algebra of a quiver

Anahtar Kelimeler

Tilting module, support-tilting module, thick subcategory, normal module, conormal module, torsion pair, antichain, exceptional antichain