Browsing by Subject "Automorphism invariant"

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    Endomorphism rings via minimal morphisms
    (Springer, 2021-06-07) Cortés Izurdiaga, Manuel; Guil Asensio, Pedro Antonio; Keskin Tutuncu, Derya; Srivastava, Ashish K.; Matemáticas
    We prove that if u : K → M is a left minimal extension, then there exists an isomorphism between two subrings, EndM R (K) and EndK R (M) of EndR(K) and EndR(M) respectively, modulo their Jacobson radicals. This isomorphism is used to deduce properties of the endomorphism ring of K from those of the endomorphism ring of M in certain situations such us when K is invariant under endomorphisms of M, or when K is invariant under automorphisms of M.