所有提交给本杂志的文章都经过同行评审。AMS有一个单一的盲的同行评审过程，在这个过程中审稿人知道原稿的作者是谁，但是作者不能访问关于同行审稿人是谁的信息。这本杂志致力于纯数学和应用数学各个领域的研究文章。要在交易中发表，论文必须是正确的、新的和有意义的。此外，它必须写得好，并引起大量数学家的兴趣。零散的结果，例如向未证明的主要定理迈进的不确定步骤，或者对已知结果的微小变化，通常是不能发表的。少于15页的符合上述标准的论文应提交给《美国数学学会学报》。发布的页面大小与为AMS-LaTeX提供的样式文件中生成的页面大小相同。
All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are.This journal is devoted to research articles in all areas of pure and applied mathematics. To be published in the Transactions, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Papers of less than 15 printed pages that meet the above criteria should be submitted to the Proceedings of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.
