Transactions of the American Mathematical Society

Q: What is the difference between Transactions of the AMS and Proceedings of the AMS?

The primary operational difference lies in article length and expositional depth. The Proceedings of the American Mathematical Society publishes shorter research papers and strictly limits accepted manuscripts to 15 printed pages. In contrast, the Transactions of the American Mathematical Society publishes longer, substantive mathematical papers that generally exceed 15 pages and present complete, detailed theoretical developments.

Q: What are the official ISSN numbers for Transactions of the AMS?

The print edition of the journal carries ISSN 0002-9947, while the electronic web edition is registered under ISSN 1088-6850. The National Library of Medicine catalog indexes the publication under NLM ID 101599173.

Q: Does Transactions of the AMS charge fees to submit or publish?

No submission fees or mandatory page charges are required for publishing under the standard subscription model. If authors choose to make their article openly accessible, or if they submit to the companion Gold Open Access journal Transactions of the AMS, Series B , an article processing charge (APC) applies unless covered by institutional read-and-publish agreements.

Q: How do authors submit a manuscript to Transactions of the AMS?

Initial submissions must be delivered electronically via the AMS Centralized Manuscript Processing submission system at ams.org/submission/tran as a single PDF document. Submissions are processed centrally in Providence, Rhode Island, and then assigned to an appropriate subject editor.

Q: Is Transactions of the American Mathematical Society indexed in Crossref?

Yes. The journal assigns persistent Crossref DOIs to all published articles, maintaining over 27,800 registered DOIs across its active and historical archives.

The Transactions of the American Mathematical Society (frequently searched by researchers as transaction ams, transaction of ams, or transactions of american mathematical society) is one of the oldest and most distinguished peer-reviewed mathematics journals in the world. Established in January 1900 by the American Mathematical Society (AMS), the journal is dedicated to publishing high-caliber, substantive research papers across all branches of pure and applied mathematics.

What it is

Transactions of the American Mathematical Society (abbreviated in bibliographic indexing as Trans. Am. Math. Soc.) serves as the primary publication venue for comprehensive mathematical investigations that require extended exposition. The journal provides a formal record of significant mathematical theorems, novel analytical frameworks, and foundational proofs that advance the mathematical sciences.

Unlike its sister publication, the Proceedings of the American Mathematical Society (which focuses on short notes and maintains a strict 15-page ceiling), the Transactions specializes in long-form treatises. Submissions typically exceed 15 printed journal pages, providing mathematicians with the necessary space to develop intricate mathematical machinery, full-length proofs, and detailed contextual theory.

The journal operates primarily under a hybrid journal model, combining institutional subscriptions with open-access licensing options. In addition, the AMS maintains a companion electronic-only publication, Transactions of the American Mathematical Society, Series B, which publishes under a pure gold open access model.

Who runs it and what it covers

The journal is governed and published by the American Mathematical Society, headquartered in Providence, Rhode Island. Editorial administration is led by an editorial committee composed of prominent research mathematicians, each overseeing specific subject classifications such as algebraic geometry, differential equations, geometric analysis, number theory, logic, and probability.

The scope of the journal encompasses all areas of pure and applied mathematics. To qualify for acceptance, a manuscript must be mathematically correct, substantially novel, and of broad significance to mathematicians working within and adjacent to the subfield.

Bibliographic Identification and Registration

The publication maintains permanent bibliographic records across national libraries and global persistent-identifier systems:

Publisher: American Mathematical Society (Providence, Rhode Island, United States)
Print ISSN: 0002-9947
Electronic / Web ISSN: 1088-6850
NLM Unique ID: 101599173 (indexed in the National Library of Medicine catalog, recording serial publication continuously from Volume 1, January 1900)
DOI Registration: Persistent digital identification managed via Crossref DOI registries, with more than 27,800 registered DOIs spanning archival backfiles and active monthly releases.
OpenAlex Citation Indexing: More than 21,100 indexed articles and over 626,000 tracked citations, reflecting a 2-year mean citedness metric of 5.43.

Editorial and Review Model

The journal enforces a rigorous peer-review evaluation process using a single-blind format. In this model, external expert referees are provided with the authors’ identities and institutional affiliations, while the identities of the referees remain strictly confidential. Every accepted contribution must undergo detailed refereeing to confirm the technical correctness of all lemmas, theorems, and computational arguments.

How to search or use it

Navigating the journal and submitting research manuscripts involves established digital interfaces and centralized workflows maintained by the AMS.

Locating and Browsing Published Articles

Official Journal Portal: Visit the official AMS portal at ams.org/journals/tran to access monthly issues, preview forthcoming articles published electronically ahead of print, and view current tables of contents.
Article Search: Utilize the on-site search interface to query published articles by author name, title keywords, publication year, or specific Mathematics Subject Classification (MSC) codes.
Bibliographic Databases: Access the journal through dedicated academic databases, including MathSciNet (AMS), zbMATH Open, JSTOR (which holds historical backfiles from 1900 subject to moving walls), and Scopus.
Institutional Authentication: For subscription content, sign in via institutional single sign-on (SSO) or library proxy networks through university libraries that maintain AMS journal packages.

Author Submission Workflow

Manuscript Preparation: Authors must prepare their manuscripts in standard LaTeX using the official AMS document classes (such as amsart). Articles should contain a concise abstract, relevant MSC primary and secondary subject classifications, and complete reference lists.
Centralized Manuscript Processing: All initial submissions must be uploaded via the AMS Centralized Manuscript Processing online form at ams.org/submission/tran as a single compiled PDF file. Authors should not send initial drafts directly to individual subject editors.
Alternative Postal Submission: Authors who are unable to utilize the web form may send one paper copy of their manuscript directly to Centralized Manuscript Processing, TRANSACTIONS OF THE AMS, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2213 USA.
Peer Review Handling: Upon receipt, the Centralized Processing office routes the manuscript to the appropriate coordinating editor based on subject matter, who then assigns external specialist referees.
Accepted Manuscript Source Delivery: Following formal editorial acceptance, authors must submit final electronic production files (including LaTeX source code, EPS or PDF figures, and BibTeX bibliographies) via the AMS web upload portal or by email to [email protected].

Strengths and limits

Evaluating Transactions of the American Mathematical Society helps researchers determine whether the journal matches their manuscript length, methodological depth, and dissemination goals.

Key Strengths

Historic Prestige and Community Trust: Published continuously since 1900, the journal is recognized worldwide as an authoritative benchmark for high-level mathematical scholarship.
Capacity for Comprehensive Treatises: Unlike many modern mathematics journals that cap manuscripts at 15 to 20 pages, Transactions welcomes expansive research projects, comprehensive proofs, and extended foundational treatises.
Exhaustive Abstracting and Indexing: Full coverage across MathSciNet, zbMATH Open, Crossref, and Web of Science ensures broad international visibility.
Flexible Dissemination Tracks: Offers authors both standard subscription publishing with zero author fees and open-access licensing pathways.

Limits to Consider

High Selectivity: Acceptance rates are stringent, and articles must exhibit substantial mathematical depth beyond routine generalizations or incremental proofs.
Exclusion of Brief Notes: Short papers (under 15 pages) are generally returned or redirected to the Proceedings of the AMS.
Thorough Peer Review Timelines: Because mathematical referees must verify intricate theoretical proofs line by line, the peer-review cycle can span several months.
Open Access Costs: While traditional subscription publication carries no submission or page fees, electing immediate open-access publication under hybrid terms or submitting to Series B requires an article processing charge (APC) unless offset by an institutional transformative agreement.

Alternatives

Mathematicians considering publication venues can evaluate how Transactions of the AMS compares with related journals across the AMS portfolio and top-tier mathematical periodicals:

Journal Name	Publisher	Article Length & Scope Focus	Access Model	Peer Review Format
Transactions of the AMS (TAMS)	American Mathematical Society	Long, substantive research papers (>15 printed pages) across all mathematics fields	Hybrid Subscription	Single-blind
Proceedings of the AMS (PAMS)	American Mathematical Society	Short research articles and communications (strict <=15 printed page ceiling)	Hybrid Subscription	Single-blind
Transactions of the AMS, Series B	American Mathematical Society	Long, substantive research papers across all mathematics fields	Gold Open Access	Single-blind
Journal of the American Mathematical Society (JAMS)	American Mathematical Society	Highly selective flagship journal publishing foundational breakthroughs of major significance	Hybrid Subscription	Single-blind
Annals of Mathematics	Princeton University & IAS	Long-standing premier mathematics journal reserved for groundbreaking mathematical discoveries	Subscription	Single-blind

Frequently Asked Questions

What is the difference between Transactions of the AMS and Proceedings of the AMS?

The primary operational difference lies in article length and expositional depth. The Proceedings of the American Mathematical Society publishes shorter research papers and strictly limits accepted manuscripts to 15 printed pages. In contrast, the Transactions of the American Mathematical Society publishes longer, substantive mathematical papers that generally exceed 15 pages and present complete, detailed theoretical developments.

What are the official ISSN numbers for Transactions of the AMS?