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Proceedings of the American Mathematical Society

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

 

 

Regularity of semilattice sums of rings


Authors: John Janeski and Julian Weissglass
Journal: Proc. Amer. Math. Soc. 39 (1973), 479-482
MSC: Primary 16A30
DOI: https://doi.org/10.1090/S0002-9939-1973-0316495-1
MathSciNet review: 0316495
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Abstract: If $ R$ is a supplementary semilattice sum of subrings $ {R_\alpha },\alpha \in \Omega $, then $ R$ is regular if and only if each $ {R_\alpha }$ is regular.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0316495-1
Keywords: Ring, semigroup, semigroup ring, regular, strongly regular, semilattice of groups
Article copyright: © Copyright 1973 American Mathematical Society