3 papers
math.CT2020
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.
math.CT2020
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…
math.CO2020
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…