Generalised Lat-Igusa-Todorov algebras and Morita contexts

Lanzilotta, Marcelo and Vivero Gonzalez, Jose (2024) Generalised Lat-Igusa-Todorov algebras and Morita contexts. Algebras and Representation Theory. ISSN 1386-923X

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Abstract

In this paper we define (special) GLIT classes and (special) GLIT algebras. We prove that GLIT algebras, which generalise Lat-Igusa-Todorov algebras, satisfy the finitistic dimension conjecture and give several properties and examples. In addition we show that special GLIT algebras are exactly those that have finite finitistic dimension. Lastly we study Morita algebras arising from a Morita context and give conditions for them to be (special) GLIT in terms of the algebras and bimodules used in their definition. As a consequence we obtain simple conditions for a triangular matrix algebra to be (special) GLIT and also prove that the tensor product of a GLIT K-algebra with a path algebra of a finite quiver without oriented cycles is GLIT.

Item Type:	Article
Additional Information:	© 2024 The Author(s)
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Date Deposited:	10 Sep 2024 09:06
Last Modified:	20 Dec 2024 00:57
URI:	http://eprints.lse.ac.uk/id/eprint/125370

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