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Type-II conjecture is true for finite I-trivial monoids
1992
Journal of Algebra
We discuss the importance of determining M" for any finite monoid h4. We prove that if all regular elements of the finite monoid M are type-II eIements (a decidable condition which includes d-triviat), then the strong type-11 conjecture is true for M, I.e., M,=M,F, and so M,{ is decidable. As an application we prove that for P(G), the monoid of nonempty subsets of a finite group G, [P(G)]"= [P(G)],r holds.
doi:10.1016/0021-8693(92)90141-8
fatcat:xr22vzrpnnhqfonfcljt22dnwe