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During an independent study I've come across Morita contexts, but I'd like to understand them better. A quick Google search doesn't yield much fruit, so I was hoping to find a good reference on the topic, preferably dealing with some of the more basic properties so I can get a feel for how to work with them

Thanks!

References I have: Rowen's Graduate Algebra: Noncommutative View and McConnell and Robson's Noncommutative Noetherian Rings. Neither spend too much time on the topic (in fact, the material on Morita contexts is in an appendix in Rowen's text).

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  • $\begingroup$ It would help if you mention the reference you did find. $\endgroup$ Apr 11 '13 at 12:37
  • $\begingroup$ Whoops! They have been added $\endgroup$
    – Bey
    Apr 11 '13 at 12:45
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    $\begingroup$ There is something in Rowen's "Ring Theory - Volume I". The beginning of chapter 4 deals with Morita contexts and the Morita theorems. Chapter 8 of Lam's "Lectures on modules and rings" (GTM 189) also deals with Morita stuff. $\endgroup$ Apr 11 '13 at 13:33
  • $\begingroup$ Thanks Has, I'll be looking at them both today :) $\endgroup$
    – Bey
    Apr 11 '13 at 17:06
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I would definitely second Has Giebenrath's recommendation of Lam's coverage in Lectures on modules and rings, and I would add Anderson and Fuller's coverage in Rings and categories of modules.

While I haven't had time to read it, I imagine Wisbauer's book also has good coverage on the topic.

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  • $\begingroup$ I appreciate it! $\endgroup$
    – Bey
    Apr 11 '13 at 17:02

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