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arxiv: 1501.01835 · v1 · pith:7YTUYJAKnew · submitted 2015-01-08 · 🧮 math.GR

On Commutative Monoid Congruences of Semigroups

classification 🧮 math.GR
keywords commutativecongruencesmedialmonoidsemigroupsubsetcalledconstruct
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A subset A of a semigroup S is called a medial subset of S if xaby is in A if and only if xbay is in A for every elements x, y, a, b of S. In the paper we show how we can construct the commutative monoid congruences of a semigroup S by the help of medial subsets of S.

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