Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Direct product decomposition of commutative semi-simple rings
HTML articles powered by AMS MathViewer

by Alexander Abian
Proc. Amer. Math. Soc. 24 (1970), 502-507
DOI: https://doi.org/10.1090/S0002-9939-1970-0258815-X
PDF | Request permission

Abstract:

In this paper it is shown that a commutative semisimple ring is isomorphic to a direct product of fields if and only if it is hyperatomic and orthogonally complete.
References
  • Nathan Jacobson, Structure of rings, American Mathematical Society Colloquium Publications, Vol. 37, American Mathematical Society, 190 Hope Street, Providence, R.I., 1956. MR 0081264, DOI 10.1090/coll/037
  • Garrett Birkhoff, Lattice theory, 3rd ed., American Mathematical Society Colloquium Publications, Vol. XXV, American Mathematical Society, Providence, R.I., 1967. MR 0227053
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 13.50
  • Retrieve articles in all journals with MSC: 13.50
Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 24 (1970), 502-507
  • MSC: Primary 13.50
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0258815-X
  • MathSciNet review: 0258815