BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Jose Brox (Centre for Mathematics\, University of Coimbra)
DTSTART:20210210T110000Z
DTEND:20210210T120000Z
DTSTAMP:20260423T004551Z
UID:SIMBa/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SIMBa/5/">Id
 entities in prime rings</a>\nby Jose Brox (Centre for Mathematics\, Univer
 sity of Coimbra) as part of Barcelona Mathematics Informal Seminar (SIMBa)
 \n\n\nAbstract\nGiven a ring\, a generalized polynomial identity (GPI) is 
 a polynomial\nidentity in which the coefficients can be taken from the rin
 g. Prime rings\nare a class of rings very well suited to manage problems r
 elated to\nidentities\, as for example those coming from Herstein's theory
 \, which is\nthe study of nonassociative objects and structures arising fr
 om\nassociative rings. After a motivating introduction to prime rings\, wi
 th\nsome examples from Herstein's theory\, I will show the usefulness of\n
 Martindale's lemma\, the key tool for solving GPIs in one variable in prim
 e\nrings\, and I will explain a new promising approach to solve them based
  on\nelementary algebraic geometry which avoids some shortcomings of the l
 emma\,\nallowing to find the optimal solutions.\n
LOCATION:https://researchseminars.org/talk/SIMBa/5/
END:VEVENT
END:VCALENDAR