Difference between revisions of "Kernel of a semi-group"
From Encyclopedia of Mathematics
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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 [[ | + | 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==== | ||
| + | <table> | ||
| + | <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> | ||
| + | </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=16036
Kernel of a semi-group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Kernel_of_a_semi-group&oldid=16036
This article was adapted from an original article by L.N. Shevrin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article