2 papers
math.CO2026
On the Drazin Index of an Anti-Triangular Block Matrix
Faustino Maciala, Xavier Mary, C. Mendes Araújo +1
The Drazin index is a fundamental invariant in the analysis of singular matrices and their generalized inverses. While sharp results are available for block triangular matrices, th…
math.CT2025
A Categorical Realization of the (2-)Category of Monoids via Sch{ü}tzenberger Categories and Strict Factorization Systems
Xavier Mary
We construct a category equivalent to the category of monoids and monoid homomorphisms, based on the Sch{ü}tzenberger category of semigroups and categories with stri…