Principal factor
Appearance
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
[edit]- A principal factor is a simple, 0-simple or null semigroup.[1]
References
[edit]- ^ Grillet (1995), p. 50, Proposition 4.9.
Further reading
[edit]- 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.