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Nov 21, 2014 at 2:12 vote accept Philippe Gaucher
Nov 20, 2014 at 18:09 history edited Benjamin Steinberg CC BY-SA 3.0
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Nov 20, 2014 at 17:45 comment added Benjamin Steinberg Some of this is discussed in Chapter 9 of my book with John Rhodes, The q-theory of finite semigroups. Either the result you want or its dual might even be there or in my paper with Izhakian and Rhodes on representations of monoids over semirings. I don't have references in front of me. I can try to write something more when I have a better computer than a smartphone
Nov 20, 2014 at 15:38 comment added Philippe Gaucher Could you expand the proof please and/or give some references about e.g. duality of modules over Boolean semiring ? A basic course for a beginner I mean.
Nov 20, 2014 at 10:52 history answered Benjamin Steinberg CC BY-SA 3.0