Kernel of a semi-group

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The smallest two-sided ideal in the semi-group. Not every semi-group has a kernel. Regarding properties of kernels of semi-groups and semi-groups that have kernels, see Minimal ideal; Archimedean semi-group; Wreath product of semi-groups; and Topological semi-group.

How to Cite This Entry:
Kernel of a semi-group. L.N. Shevrin (originator), Encyclopedia of Mathematics. URL:
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098