O radykałach pierścieni skośnych wielomianów

Speaker(s)

Michał Ziembowski

Affiliation

Politechnika Warszawska

Language of the talk

Polish

Date

Dec. 5, 2024, 12:15 p.m.

Room

room 5450

Seminar

Seminar Algebra

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Given a ring R, radicals of the polynomial ring R[x], and even of the skew polynomial ring R[x; σ] skewed by an automorphism σ on R, have been studied and described for many different radicals. Here we generalize such studies, by allowing σ to merely be an endomorphism. Our results reveal that there are three key properties that, when present, allow a simple description of a radical of R[x; σ]. Moreover, multiple examples are provided showing that when σ is injective, but not surjective, wild growth patterns may occur.

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