TY  - JOUR
TT  - THE INGALLS-THOMAS BIJECTIONS
AU  - Obaid, M. A. A.
AU  - Nauman, S. K.
AU  - Fakieh, W. M.
AU  - Ringel, C. M.
PY  - 2016
DA  - December
DO  - 10.24330/ieja.266182
JF  - International Electronic Journal of Algebra
JO  - IEJA
PB  - Abdullah HARMANCI
WT  - DergiPark
SN  - 1306-6048
SP  - 28
EP  - 44
VL  - 20
IS  - 20
KW  - Tilting module
KW  - support-tilting module
KW  - thick subcategory
KW  - normal module
KW  - conormal module
KW  - torsion pair
KW  - antichain
KW  - exceptional antichain
N2  - 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
UR  - https://doi.org/10.24330/ieja.266182
L1  - https://dergipark.org.tr/en/download/article-file/232706
ER  -