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Principal factor

From Wikipedia, the free encyclopedia

In algebra, the principal factor of a -class J of a semigroup S is equal to J if J is the kernel of S, and to otherwise.

Properties

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References

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  1. ^ Grillet (1995), p. 50, Proposition 4.9.

Further reading

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  • Howie, John M. (1995), Fundamentals of Semigroup Theory, Clarendon Press, ISBN 0-19-851194-9.
  • Clifford, A. H.; Preston, G. B. (1961), The algebraic theory of semigroups, volume 1, American Mathematical Society.
  • Grillet, P. A. (1995), Semigroups: An Introduction to the Structure Theory, Marcel Dekker, p. 49, ISBN 0824796624.