<s>
Order	B-Algorithm
convergence	I-Algorithm
plays	O
an	O
important	O
role	O
in	O
the	O
theory	O
of	O
vector	B-Algorithm
lattices	I-Algorithm
because	O
the	O
definition	O
of	O
order	B-Algorithm
convergence	I-Algorithm
does	O
not	O
depend	O
on	O
any	O
topology	O
.	O
</s>
<s>
A	O
net	O
in	O
a	O
vector	B-Algorithm
lattice	I-Algorithm
is	O
said	O
to	O
order-converge	O
to	O
if	O
there	O
is	O
a	O
net	O
in	O
that	O
decreases	O
to	O
and	O
satisfies	O
for	O
all	O
.	O
</s>
<s>
In	O
an	O
order	B-Algorithm
complete	I-Algorithm
vector	B-Algorithm
lattice	I-Algorithm
whose	O
order	O
is	O
regular	O
,	O
is	O
of	O
minimal	B-Algorithm
type	I-Algorithm
if	O
and	O
only	O
if	O
every	O
order	B-Algorithm
convergent	I-Algorithm
filter	O
in	O
converges	O
when	O
is	O
endowed	O
with	O
the	O
order	B-Algorithm
topology	I-Algorithm
.	O
</s>
