Classifications of quasitrivial semigroups

Published 27 Nov 2018 in math.RA, cs.DM, and math.CO | (1811.11113v1)

Abstract: We investigate classifications of quasitrivial semigroups defined by certain equivalence relations. The subclass of quasitrivial semigroups that preserve a given total ordering is also investigated. In the special case of finite semigroups, we address and solve several related enumeration problems.

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