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
- A principal factor is a simple, 0-simple or null semigroup.[1]
References
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- ^ Grillet (1995), p. 50, Proposition 4.9.
Further reading
- Page Module:Citation/CS1/styles.css has no content.Howie, John M. (1995), Fundamentals of Semigroup Theory, Clarendon Press, ISBN 0-19-851194-9.
- Page Module:Citation/CS1/styles.css has no content.Clifford, A. H.; Preston, G. B. (1961), The algebraic theory of semigroups, volume 1, American Mathematical Society.
- Page Module:Citation/CS1/styles.css has no content.Grillet, P. A. (1995), Semigroups: An Introduction to the Structure Theory, Marcel Dekker, p. 49, ISBN 0824796624.
