Abstract. We present some new families of collapsing monoids. These monoids form large intervals in the submonoid lattices of the full transformation semigroups. Some of these intervals have cardinalities $\ge2^{2^{cn}}$ where $n$ is the size of the base set.
AMS Subject Classification
(1991): 08A40
Received March 28, 2001, and in revised form July 25, 2001. (Registered under 2856/2009.)
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