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DTSTART:20150308T070000
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DTSTART:20151101T060000
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UID:6a23f6395f616
DTSTART;TZID=America/Toronto:20160202T103000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20160202T103000
URL:https://uwaterloo.ca/pure-mathematics/events/ring-theory-seminar-7
LOCATION:MC 5403 Canada
SUMMARY:Ring Theory Seminar
CLASS:PUBLIC
DESCRIPTION:HONGDI HUANG\, PURE MATHEMATICS\, UNIVERSITY OF WATERLOO\n\n\"M
 orita Theory IV: The Morita Context\"\n\nIf $F:\\mathrm{Mod}_R \\rightarro
 w \\mathrm{Mod}_S$ is a Morita\nequivalence\, then it preserves progenerat
 ors\, so $P_S:= F(R_R)$ is a\nprogenerator in $\\mathrm{Mod}_S$. We'll see
  that that $P_S$ has a left\n$R$-module structure and $F\\simeq -\\otimes 
 _RP_S$\, thus giving rise to\na \\textit{Morita context} between $R$ and $
 S$. Conversely\, the\nexistence of a Morita context implies that $R$ and $
 S$ are Morita\nequivalent.
DTSTAMP:20260606T102809Z
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