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math.HO2026
Comparing different approaches to the concept of determinant: the multiplicative approach is the best!
Peteris Daugulis, Mikhail H Klin, Anita Sondore
The determinant is traditionally introduced through permutation expansions, multilinearity, or recursive expansion formulas - approaches that, while rigorous, often obscure its con…
math.CO2026
Directed strongly regular graphs from groups, loops and quasigroups
Štefan Gyürki, Mikhail Klin
We introduce four infinite families of directed strongly regular graphs of orders and . The constructions are described in terms of groups, quasigroups, loops and thei…