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Agreements vary from publisher to publisher which is why it is important to read the document carefully before signing. Many publishers allow posting of articles on the Internet, but sometimes it is difficult to determine if it is permitted. As an example, the publishers below allow authors to post articles but with certain restrictions.
With Wiley's program the author, the author's funding agency, or the author's institution pays a fee, which can vary by journal, to ensure that the article is made available to non-subscribers upon publication via Wiley Online Library.