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We describe a class of semigroup biacts that is analogous to the class of completely simple semigroups, and prove a structure theorem for those biacts that is analogous to the… Click to show full abstract
We describe a class of semigroup biacts that is analogous to the class of completely simple semigroups, and prove a structure theorem for those biacts that is analogous to the Rees–Sushkevitch Theorem. Precisely, we describe stable, $$\mathcal {J}$$J-simple biacts in terms of wreath products, translations of completely simple semigroups, biacts over endomorphism monoids of free G-acts, tensor products and matrix biacts. Applications to coproducts and left acts are given.
Keywords:
structure theorem;
mathcal simple;
theorem;
semigroup biacts;
stable mathcal
Journal Title: Semigroup Forum
Year Published: 2018
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Journal Title: Semigroup Forum
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!