Negative critical remarks should be objective, precise, documented and expressed in good taste. Vague criticism offends the author and fails to enlighten the reader. If you conclude that the item duplicates earlier work, you must cite specific references. If you think that the item is in error, the errors should be described precisely. You should be aware that the MR Database does not include author responses to critical reviews.
Book reviews .
Important new books deserve careful reviews. You should always try to limit your review to a maximum of 1,000 words. We understand that such a review takes time to prepare. The same is true of expository articles. On the other hand, you might decide that a book or article needs only a very brief description.