Title of article :
A Bijection Between the Indecomposable Summands of Two Multiplicity Free Tilting Modules
Author/Authors :
D’Este ، Gabriella Department of Mathematics - Faculty of Sciences - University of Milano , Akcin ، H. Melis Tekin Department of Mathematics - Faculty of Sciences - Hacettepe University
Abstract :
We show that there is a reflection type bijection between the indecomposable summands of two multiplicity free tilting modules X and Y . This bijection fixes the common indecomposable summands of X and Y and sends indecomposable projective (resp., injective) summands of exactly one module to non-projective (resp., non-injective) summands of the other. Moreover, this bijection interchanges the two possible non-isomorphic complements of an almost complete tilting module.
Keywords :
Tilting modules , Partial tilting modules , Short exact sequences , Quivers
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
