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DTSTART:20150308T070000
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DTSTART:20151101T060000
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DTSTART;TZID=America/Toronto:20160114T113000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20160114T113000
URL:https://uwaterloo.ca/pure-mathematics/events/ring-theory-learning-semin
 ar-1
LOCATION:MC 5403 Canada
SUMMARY:Ring theory learning seminar
CLASS:PUBLIC
DESCRIPTION:EHSAAN HOSSAIN\, PURE MATHEMATICS\, UNIVERSITY OF WATERLOO\n\n\
 "Morita theory 1: Modules\"\n\nLet $\\mathrm{Mod}_R$ be the category of ri
 ght $R$-modules. Two rings\n$R\,S$ are \\textit{Morita equivalent}\, denot
 ed $R\\sim S$\, if\n$\\mathrm{Mod}_R$ and $\\mathrm{Mod}_S$ are equivalent
  as categories.\nFor example $\\mathbf{C}$ is Morita equivalent to $M_2(\\
 mathbf{C})$\,\nbecause any $\\mathbf{C}$-vector space can double up to bec
 ome an\n$M_2(\\mathbf{C})$-module. Many properties are Morita invariant\; 
 for\ninstance simplicity\, semisimplicity\, and chain conditions.
DTSTAMP:20260430T085803Z
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