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- W2892902214 abstract "A totally ordered monoid, or tomonoid for short, is a monoid endowed with a compatible total order. We reconsider in this paper the problem of describing the one-element Rees coextensions of a finite, negative tomonoid S, that is, those tomonoids that are by one element larger than S and whose Rees quotient by the poideal consisting of the two smallest elements is isomorphic to S. We show that any such coextension is a quotient of a pomonoid $$mathcal R(S)$$ , called the free one-element Rees coextension of S. We investigate the structure of $$mathcal R(S)$$ and describe the relevant congruences. We moreover introduce a finite family of finite quotients of $$mathcal R(S)$$ from which the coextensions arise in a particularly simple way." @default.
- W2892902214 created "2018-10-05" @default.
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- W2892902214 date "2018-09-28" @default.
- W2892902214 modified "2023-09-23" @default.
- W2892902214 title "Rees coextensions of finite tomonoids and free pomonoids" @default.
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- W2892902214 doi "https://doi.org/10.1007/s00233-018-9972-z" @default.
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