Kernel of a semi-group
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.
Kernel of a semi-group. L.N. Shevrin (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Kernel_of_a_semi-group&oldid=16036