Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

The categories of $ p$-rings are equivalent


Author: R. W. Stringall
Journal: Proc. Amer. Math. Soc. 29 (1971), 229-235
MSC: Primary 06.60; Secondary 08.00
MathSciNet review: 0276153
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let p and q be prime numbers. Let $ {R_p}$ and $ {R_q}$ denote, respectively, the categories of p-rings and q-rings with ring homomorphisms as morphisms. Then $ {R_p}$ and $ {R_q}$ are equivalent categories. In particular, the category of all Boolean rings is equivalent to $ {R_p}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 06.60, 08.00

Retrieve articles in all journals with MSC: 06.60, 08.00


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0276153-7
PII: S 0002-9939(1971)0276153-7
Keywords: Category of Boolean rings, category of p-rings, subdirect sums of finite fields, p-rings, Boolean rings, Abelian p-groups, decompositions of Abelian p-groups, Boolean rings of idempotents
Article copyright: © Copyright 1971 American Mathematical Society