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Context-free pairs of groups II - Cuts, tree sets, and random walks.
Woess W.
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Partial orders and their semigroups of closed relations
Hardy, D.W., Thornton, M.C.
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The L -ordered semigroups based on L -partial orders
Fuzzy Sets and Systems, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaokun Huang, Qingguo Li, Qimei Xiao
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On Partially Ordered Semigroups and an Abstract Set-Difference
Set-Valued Analysis, 2008By an \(F\)-semigroup \((S,+,\leq)\) the authors mean a commutative (additive) semigroup with an order on it satisfying the following five properties: (S1) For each \(a,b,s\in S\), \(a+s\leq b+s\) implies \(a\leq b\). (S2) If \(a\leq b\), then \(a+s\leq b+s\) for each \(s\in S\).
Pallaschke, Diethard +2 more
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THE NATURAL PARTIAL ORDER ON SOME TRANSFORMATION SEMIGROUPS
Bulletin of the Australian Mathematical Society, 2013AbstractFor a semigroup $S$, let ${S}^{1} $ be the semigroup obtained from $S$ by adding a new symbol 1 as its identity if $S$ has no identity; otherwise let ${S}^{1} = S$. Mitsch defined the natural partial order $\leqslant $ on a semigroup $S$ as follows: for $a, b\in S$, $a\leqslant b$ if and only if $a= xb= by$ and $a= ay$ for some $x, y\in {S}^{1}
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