use strict only works in the current package ... for example: 
# file foo.pm
package foo;
$foo = 1;

---------------------------

# file foo.pl
use strict;
use foo;
print $foo::foo,$/;

---------------------------

[jeffa@trinity perl]$ perl -c foo.pm
foo.pm syntax OK
[jeffa@trinity perl]$ perl -c foo.pl
foo.pl syntax OK
[jeffa@trinity perl]$ ./foo.pl
1

[download]
UPDATE:
s/package/scope/ -- thanks pg and hawtin :)

jeffa

L-LL-L--L-LL-L--L-LL-L--
-R--R-RR-R--R-RR-R--R-RR
B--B--B--B--B--B--B--B--
H---H---H---H---H---H---
(the triplet paradiddle with high-hat)

In reply to (jeffa) Re: require() turns off strict? by jeffa
in thread require() turns off strict? by BioHazard

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