6 papers · 1 filter
Generalised tree modules: Hom-sets and indecomposability
Annoy Sengupta, Amit Kuber
For a zero-relation algebra over a field , Crawley-Boevey introduced the concept of a tree module and provided a combinatorial description of a basis for the space of h…
Characterisation of band bricks over certain string algebras and a variant of perfectly clustering words
Annoy Sengupta, Amit Kuber
Generalising a recent work of Dequêne et al. on the connection between perfectly clustering words and band bricks over a particular family of gentle algebras, we characterise band…
Hammocks for non-domestic string algebras
Vinit Sinha, Amit Kuber, Annoy Sengupta +1
We show that the order type of the simplest version of a hammock for string algebras lies in the class of finite description linear orders--the smallest class of linear orders cont…
On the computation of order types of hammocks for domestic string algebras
Shantanu Sardar, Amit Kuber
For the representation-theoretic study of domestic string algebras, Schröer introduced a version of hammocks that are bounded discrete linear orders. He introduced a finite combina…
Variations of the bridge quiver for domestic string algebras
Shantanu Sardar, Amit Kuber
In the computation of some representation-theoretic numerical invariants of domestic string algebras, a finite combinatorial gadget introduced by Schröer--the \emph{bridge quiver}…
On the stable radical of some non-domestic string algebras
Esha Gupta, Amit Kuber, Shantanu Sardar
We introduce the concept of a prime band in a string algebra and use it to associate to its finite bridge quiver. Then we introduce a new technique of `recursive systems' f…