Abstract
Using examples of modules and a number of familiar Abelian groups, we demonstrate the Kaplansky method of proving isomorphism theorems for endomorphism rings.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 159, Algebra, 2019.
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Krylov, P.A., Tuganbaev, A.A. & Tsarev, A.V. Around the Baer–Kaplansky Theorem. J Math Sci 256, 278–298 (2021). https://doi.org/10.1007/s10958-021-05428-w
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DOI: https://doi.org/10.1007/s10958-021-05428-w
Keywords and phrases
- Abelian group
- endomorphism ring
- isomorphism theorem for endomorphism rings
- Baer–Kaplansky theorem
- Kaplansky method