Titlebook: Representation Theory of Finite Monoids; Benjamin Steinberg Textbook 2016 Springer International Publishing Switzerland 2016 automata theo

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自然环境

9 The Representation Theory of Inverse Monoidsd Möbius inversion. In fact, this work has a precursor in the work of Rukolaĭne [Ruk78, Ruk80], who used alternating sums of idempotents to achieve the same effect as Möbius inversion and used Brandt inverse semigroups instead of groupoids. The author only became aware of the work of Rukolaĭne after

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拥护者

13 Transformation Monoids role in automata theory and we provide here some applications in this direction. In particular, we study connections with the popular Černý conjecture [Č64]; see [Vol08] for a survey. This chapter is primarily based upon the paper [Ste10b].

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2 ,-trivial Monoidss and prime ideals of arbitrary finite monoids, as they shall play an important role in both the general theory and in the structure theory of .-trivial monoids. The second section concerns .-trivial monoids and, in particular, left regular bands, which are precisely the regular .-trivial monoids.

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