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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
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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}$.

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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

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