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THE INGALLS-THOMAS BIJECTIONS

Year 2016, Volume: 20 Issue: 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

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

Year 2016, Volume: 20 Issue: 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

Abstract

There are 0 citations in total.

Details

Subjects Mathematical Sciences
Other ID JA29FF79ZF
Journal Section Articles
Authors

M. A. A. Obaid This is me

S. K. Nauman This is me

W. M. Fakieh This is me

C. M. Ringel This is me

Publication Date December 1, 2016
Published in Issue Year 2016 Volume: 20 Issue: 20

Cite

APA Obaid, M. A. A., Nauman, S. K., Fakieh, W. M., Ringel, C. M. (2016). THE INGALLS-THOMAS BIJECTIONS. International Electronic Journal of Algebra, 20(20), 28-44. https://doi.org/10.24330/ieja.266182
AMA Obaid MAA, Nauman SK, Fakieh WM, Ringel CM. THE INGALLS-THOMAS BIJECTIONS. IEJA. December 2016;20(20):28-44. doi:10.24330/ieja.266182
Chicago Obaid, M. A. A., S. K. Nauman, W. M. Fakieh, and C. M. Ringel. “THE INGALLS-THOMAS BIJECTIONS”. International Electronic Journal of Algebra 20, no. 20 (December 2016): 28-44. https://doi.org/10.24330/ieja.266182.
EndNote Obaid MAA, Nauman SK, Fakieh WM, Ringel CM (December 1, 2016) THE INGALLS-THOMAS BIJECTIONS. International Electronic Journal of Algebra 20 20 28–44.
IEEE M. A. A. Obaid, S. K. Nauman, W. M. Fakieh, and C. M. Ringel, “THE INGALLS-THOMAS BIJECTIONS”, IEJA, vol. 20, no. 20, pp. 28–44, 2016, doi: 10.24330/ieja.266182.
ISNAD Obaid, M. A. A. et al. “THE INGALLS-THOMAS BIJECTIONS”. International Electronic Journal of Algebra 20/20 (December 2016), 28-44. https://doi.org/10.24330/ieja.266182.
JAMA Obaid MAA, Nauman SK, Fakieh WM, Ringel CM. THE INGALLS-THOMAS BIJECTIONS. IEJA. 2016;20:28–44.
MLA Obaid, M. A. A. et al. “THE INGALLS-THOMAS BIJECTIONS”. International Electronic Journal of Algebra, vol. 20, no. 20, 2016, pp. 28-44, doi:10.24330/ieja.266182.
Vancouver Obaid MAA, Nauman SK, Fakieh WM, Ringel CM. THE INGALLS-THOMAS BIJECTIONS. IEJA. 2016;20(20):28-44.

Cited By

LATTICE STRUCTURE OF TORSION CLASSES FOR HEREDITARY ARTIN ALGEBRAS
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https://doi.org/10.1017/nmj.2017.12