Kernel of a semi-group

From HandWiki

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.

References

[1] A.H. Clifford, G.B. Preston, "Algebraic theory of semi-groups" , Amer. Math. Soc. (1961–1967)