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Algebraic structures and linear maps form a cornerstone in modern mathematics, underpinning areas as diverse as abstract algebra and functional analysis. Algebraic structures such as groups, rings, ...

1 Department of Mathematical Sciences, Mathematical Finance and Econometrics, Catholic University of the Sacred Heart, Milan, Italy 2 Department of Economics, University of Bamberg, Bamberg, Germany ...

(ST)(T^{-1}S^{-1}) = STT^{-1}S^{-1} = SS^{-1} = I Hence, $ST$ is invertible and $(ST)^{-1} = T^{-1}S^{-1}$. _Exercise 2_ Let $N$ be the set of noninvertible operators ...

Abstract: Linear map commitments allow the prover to commit to a vector, with the ability to prove the image of a linear map acting on the vector. In this paper, we propose linear map commitments with ...

Verification of large programs is impossible without proof techniques that allow local reasoning and information hiding. In this paper, we resurrect, extend and modernize an old approach to this ...