Dominions, zigzags and epimorphisms for partially ordered semigroups

Authors

  • Nasir Sohail Institute of Mathematics, Faculty of Mathematics and Computer Science, University of Tartu, J. Liivi 2, 50409 Tartu
  • Lauri Tart Institute of Mathematics, Faculty of Mathematics and Computer Science, University of Tartu, J. Liivi 2, 50409 Tartu

DOI:

https://doi.org/10.12697/ACUTM.2014.18.09

Keywords:

posemigroup, pomonoid, dominion, zigzag, absolutely closed, epimorphism

Abstract

We prove an analogue of Isbell's celebrated zigzag theorem for partially ordered semigroups. This theorem provides a useful description of dominions which we employ to describe absolute closedness of posemigroups and epimorphisms in varieties of absolutely closed posemigroups.

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Published

2014-06-25

Issue

Vol. 18 No. 1 (2014)

Section

Articles