3 citations · 5 across the 4 of their papers we have counts for
5 papers
Idempotent completions of -exangulated categories
Carlo Klapproth, Dixy Msapato, Amit Shah
Suppose is an -exangulated category. We show that the idempotent completion and the weak idempotent completion of are again…
The Karoubi envelope and weak idempotent completion of an extriangulated category
Dixy Msapato
We show that the idempotent completion and weak idempotent completion of an extriangulated category are also extriangulated.
A characterisation of extriangulated categories with triangulated structure
Dixy Msapato
We give a characterisation of the extriangulated categories which admit the structure of a triangulated category. We show that these are the extriangulated categories where for eve…
Modular Fuss-Catalan numbers
Dixy Msapato
The modular Catalan numbers , introduced by Hein and Huang in 2016 count equivalence classes of parenthesizations of where is a binary -ass…
Counting the number of -exceptional sequences over Nakayama algebras
Dixy Msapato
The notion of a -exceptional sequence was introduced by Buan and Marsh in 2018 as a generalisation of an exceptional sequence for finite dimensional algebras. We calculate the n…