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Additional
lattice ordered group
English Wikipedia - The Free Encyclopedia
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Partially ordered group
In
abstract algebra
, a
partially ordered group
is a
group
(G,+)
equipped with a
partial order
"=" that is
translation-invariant
; in other words, "=" has the property that, for all
a
,
b
, and
g
in
G
, if
a
=
b
then
a+g
=
b+g
and
g+a
=
g+b
.
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