Right-orderability versus left-orderability for monoids
نویسندگان
چکیده
We investigate the relationship between (total) left- and right-orderability for monoids, in particular illustrating finite case by various structural observations counterexamples, also highlighting role played positive orderability. Moreover, we construct a non-left-orderable, positively right-orderable submonoid of free product cyclic group order 7 with on 4 generators. Any extension that monoid has elements 7.
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2021
ISSN: ['0037-1912', '1432-2137']
DOI: https://doi.org/10.1007/s00233-021-10185-y