Difference between revisions of "Baer semi-group"
From Encyclopedia of Mathematics
(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
Baer semi-group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Baer_semi-group&oldid=37293