On the representation dimension and finitistic dimension of special multiserial algebras
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Abstract:
For monomial special multiserial algebras, which in general are of wild representation type, we construct radical embeddings into algebras of finite representation type. As a consequence, we show that the representation dimension of monomial and self-injective special multiserial algebras is less than or equal to three. This implies that the finitistic dimension conjecture holds for all special multiserial algebras.References
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Additional Information
- Sibylle Schroll
- Affiliation: Department of Mathematics, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom
- MR Author ID: 760778
- Email: schroll@leicester.ac.uk
- Received by editor(s): July 26, 2017
- Received by editor(s) in revised form: November 9, 2017, and January 24, 2018
- Published electronically: March 1, 2019
- Additional Notes: Part of this work took place during a visit of the author to the University of São Paulo. The author would like to thank Eduardo Marcos for his hospitality. This work was supported through the EPSRC fellowship grant EP/P016294/1.
- Communicated by: Jerzy Weyman
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2275-2280
- MSC (2010): Primary 16G10, 05E10
- DOI: https://doi.org/10.1090/proc/14230
- MathSciNet review: 3951410
Dedicated: Dedicated to Ed Green on the occasion of his $70$th birthday