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Difference between revisions of "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|Minimal ideal]]; [[Archimedean semi-group|Archimedean semi-group]]; [[Wreath product|Wreath product]] of semi-groups; and [[Topological semi-group|Topological semi-group]].
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The smallest two-sided [[ideal]] in the semi-group. Not every semi-group has a kernel.  
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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]].
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====References====
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<table>
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<TR><TD valign="top">[1]</TD> <TD valign="top">  A.H. Clifford,  G.B. Preston,  "Algebraic theory of semi-groups" , Amer. Math. Soc. (1961–1967)</TD></TR>
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</table>

Latest revision as of 18:11, 7 May 2016

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)
How to Cite This Entry:
Kernel of a semi-group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Kernel_of_a_semi-group&oldid=38787
This article was adapted from an original article by L.N. Shevrin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article