Publication: Endomorphism rings via minimal morphisms
Authors
Cortés Izurdiaga, Manuel ; Guil Asensio, Pedro Antonio ; Keskin Tutuncu, Derya ; Srivastava, Ashish K.
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Publisher
Springer
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DOI
https://doi.org/10.1007/s00009-021-01802-9
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info:eu-repo/semantics/article
Description
© 2021 The Author(s), under exclusive licence to Springer Nature Switzerland AG. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
This document is the Accepted Manuscript version of a Published Work that appeared in final form in Mediterranean Journal of Mathematics. To access the final edited and published work see https://doi.org/10.1007/s00009-021-01802-9
Abstract
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.
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Citation
Mediterranean Journal of Mathematics, 2021, Vol. 18 : 152
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