On equations over Brandt semigroups

2017/09/23 by Mikhail Vakhrameev, Vakhrameev, Mikhail
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA) #math.GR #math.RA

paper · pdf · doi:10.48550/arxiv.1709.08043

in Russian

arxiv created 2017/09/23 · arxiv updated 2017/09/26

Abstract

In this paper, we study equations over Brandt semigroup B_n. We compute that the number of unsolvable equations in one variable asymptotically equals (2)/(n²), and the average number of solutions of these equations asymptotically equals n².

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