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Thursday 10 Feb 2022Number Theory and Algebra Seminar: On the Baer-Kaplansky Theorem

Tomasz Brzezinski - Swansea University

Harrison 203 14:30-15:30

The classical Baer-Kaplansky theorem connects isomorphisms of finite abelian groups with isomorphisms of their endomorphism rings. In this talk, based on a joint work with Simion Breaz, I will argue that extension of the Baer-Kaplansky theorem to all abelian groups involves isomorphisms of endomorphism trusses of heaps corresponding to groups. The less familiar notions of heaps, trusses etc. will be explained along the way.

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