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
From page
2521
To page
2538
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
Record number
2757020
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