Open AccessDominions, zigzags and epimorphisms for partially ordered semigroups
Author(s) -
Sohail Nasir,
Lauri Tart
Publication year - 2014
Publication title -
acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.276
H-Index - 6
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2014.18.09
Subject(s) - mathematics , pure mathematics , zigzag , geometry
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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