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One-sided principal ideals in the direct product of two semigroups

Imrich Fabrici — 1993

Mathematica Bohemica

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

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