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math.RA2022
Biunit pairs in semiheaps and associated semigroups
Bernard Rybołowicz, Carlos Zapata-Carratalá
Biunit pairs are introduced as pairs of elements in a semiheap that generalize the notion of unit. Families of functions generalizing involutions and conjugations, called switches…
math.RA2022★ 3 cited
Novel non-involutive solutions of the Yang-Baxter equation from (skew) braces
Anastasia Doikou, Bernard Rybolowicz
We produce novel non-involutive solutions of the Yang-Baxter equation coming from (skew) braces. These solutions are generalisations of the known ones coming from braces and skew b…