Namespaces
Variants
Actions

Difference between revisions of "Baer semi-group"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Start article: Baer semigroup)
 
m (Richard Pinch moved page Baer semigroup to Baer semi-group: consistency)
(No difference)

Revision as of 17:05, 2 January 2016

A semi-group $S$ with an absorbing element 0 having the property that the right annihilator of any element is a principal right ideal on an idempotent element of $S$, and similarly the left annihilator of any element is a principal left ideal on an idempotent element of $S$.

Examples include the monoid of binary relations on a set $A$ under composition of relations, with the empty relation as zero element.

References

[1] T.S. Blyth Lattices and Ordered Algebraic Structures Springer (2006) ISBN 184628127X
How to Cite This Entry:
Baer semi-group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Baer_semi-group&oldid=37293