On monotone alternating inverse monoids
Abstract
In this paper, we consider the inverse submonoids AMn of monotone transformations and AOn of order-preserving transformations of the alternating inverse monoid AIn on a chain with n elements. We compute the cardinalities, describe the Green's structures and the congruences, and calculate the ranks of these two submonoids of AIn.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.