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, ...

“Mathematics is the art of reducing any problem to linear algebra.” This is a quote often attributed to William Stein, a former mathematics professor at the University of Washington, now the lead ...

Let 𝓤 be a unital ★-algebra and δ : 𝓤 → 𝓤 be a linear map behaving like a derivation or an anti-derivation at the following orthogonality conditions on elements of 𝓤: xy = 0, xy★ = 0, xy = yx = 0 ...