A note on principal ideals and $\mathcal {J}$-classes in the direct product of two semigroups

Imrich Fabrici

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Displaying similar documents to “A note on principal ideals and $𝒥$ -classes in the direct product of two semigroups”

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A necessary and sufficient condition is given for a) a principal left ideal $L (s, t)$ in $S \times T$ to be equal to the direct product of the corresponding principal left ideals $L (s) \times L (t)$ , b) an $ℒ$ -class $L_{(s, t)}$ to be equal to the direct product of the corresponding $ℒ$ -classes $L_{s} \times L_{t}$ .

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Displaying similar documents to “A note on principal ideals and 𝒥 -classes in the direct product of two semigroups”

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Displaying similar documents to “A note on principal ideals and $𝒥$ -classes in the direct product of two semigroups”