Principal factor
In-game article clicks load inline without leaving the challenge.
In algebra, the principal factor of a J {\displaystyle {\mathcal {J}}}-class J of a semigroup S is equal to J if J is the kernel of S, and to J ∪ { 0 } {\displaystyle J\cup \{0\}} otherwise.
Properties
- A principal factor is a simple, 0-simple or null semigroup.
Further reading
- 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.