Semigroup Forum

, Volume 61, Issue 3, pp 435–452 | Cite as

Abelian Kernels of Some Monoids of Injective Partial Transformations and an Application

  • Manuel Delgado
  • Vítor H. Fernandes

In this paper we compute the abelian kernels of the monoids POI n and POPI n of all injective order preserving and respectively, orientation preserving, partial transformations on a chain with n elements. As an application, we show that the pseudovariety POPI generated by the monoids POPI n (n epsilon N) is not contained in the Mal'cev product of the pseudovariety POI generated by the monoids POI n (n epsilon N) with the pseudovariety Ab of all finite abelian groups.


Abelian Group Order Preserve Orientation Preserve Partial Transformation Finite Abelian Group 
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Copyright information

© Springer-Verlag New York Inc. 2000

Authors and Affiliations

  • Manuel Delgado
  • Vítor H. Fernandes

There are no affiliations available

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