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SIMBa: Identities in prime rings

SIBMa

El proper dimecres, 10 de febrer, se celebrarà una nova xerrada —en format virtual— del Seminari Informal de Matemàtiques de Barcelona (SIMBa).

Speaker: José  Brox
Universitat: Centre for Mathematics of the University of Coimbra (CMUC).

Data: Wednesday, February 10th, 2021.
Hora: 12:00,virtual coffee break; 12:20, talk.
Lloc: Zoom (the link will be posted on our website).
Idioma: English.

Títol: Identities in prime rings.
Resum: Given a ring, a generalized polynomial identity (GPI) is a polynomialidentity in which the coefficients can be taken from the ring. Primerings are a class of rings very well suited to manage problems related toidentities, as for example those coming from Herstein’s theory, which isthe study of nonassociative objects and structures arising from associa-tive rings. After a motivating introduction to prime rings, with someexamples from Herstein’s theory, I will show the usefulness of Martin-dale’s lemma, the key tool for solving GPIs in one variable in primerings, and I will explain a new promising approach to solve them basedon elementary algebraic geometry which avoids some shortcomings ofthe lemma, allowing to find the optimal solutions.

 

Si voleu estar al cas de les xerrades previstes, podeu consultar el calendari. Si voleu proposar una xerrada, ompliu el formulari. Si voleu contactar amb els responsables podeu escriure un missatge a seminari(dot)simba(at)ub(dot)edu.