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Additional
relation algebra
English Wikipedia - The Free Encyclopedia
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Relation algebra
In
mathematics
and
abstract algebra
, a
relation algebra
is a
residuated Boolean algebra
expanded
with an
involution
called
converse
, a unary operation. The motivating example of a relation algebra is the algebra 2
X
²
of all
binary relations
on a set
X
, that is, subsets of the
cartesian square
X
2
, with
R
•
S
interpreted as the usual
composition of binary relations
R
and
S
, and with the converse of
R
interpreted as the
inverse relation
.
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