6 papers
Super-decomposable pure-injective modules over some Jacobian algebras
Shantanu Sardar
Existence of superdecomposable pure-injective modules reflects complexity in the category of finite-dimensional representations over an algebra. Such an existence occurs when an al…
Krull-Gabriel dimension of Skew group algebras
Shantanu Sardar
For an algebraically closed field K, let G be a finite abelian group of K-linear automorphisms of a finite-dimensional algebra A and AG is the associated skew group algebra. The au…
On the Irreducible Morphisms for Skew group algebras
Shantanu Sardar, Alfredo Gonzalez Chaio, Sonia Trepode
For an algebraically closed field K, let G be a finite abelian group of K-linear automorphisms of a finite-dimensional path algebra KQ of a quiver Q. Under certain assumptions on t…
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…