Title of article
THE INGALLS-THOMAS BIJECTIONS
Author/Authors
A. A. Obaid, Mustafa King Abdulaziz University - Faculty of Science, Saudi Arabia , Nauman, S. Khalid King Abdulaziz University - Faculty of Science, Saudi Arabia , Fakieh, Wafaa M King Abdulaziz University - Faculty of Science, Saudi Arabia , Michael Ringel, Claus King Abdulaziz University - Faculty of Science, Saudi Arabia
Pages
17
From page
28
To page
44
Abstract
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.
Keywords
Tilting module , support-tilting module , thick subcategory , normal module , conormal module , torsion pair , antichain , exceptional antichain
Journal title
International Electronic Journal of Algebra
Serial Year
2016
Full Text URL
Record number
2600868
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