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A partial right ordering of the group of automorphisms of a cyclically ordered set. (Bulgarian) Zbl 0636.06011
Summary: The investigations of the group of CO-automorphisms 𝔄 of a cyclically ordered set are continued in this paper. The author constructs an extension P ¯(𝔄) of the right cyclic ordering P(𝔄) of the group of CO-automorphisms, discussed in a previous paper. A necessary and sufficient condition under which P ¯(𝔄) is a non-trivial extension of P(𝔄) is proved. Examples when P ¯(𝔄)P(𝔄) or P ¯(𝔄)=P(𝔄) are examined.
MSC:
06F15Ordered groups
06A99Ordered sets