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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Noncancellative congruences on $ N$-semigroups


Author: Robert P. Dickinson
Journal: Proc. Amer. Math. Soc. 36 (1972), 317-325
MSC: Primary 20M10
MathSciNet review: 0308297
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Abstract: This paper describes a constructive method of finding all congruences $ \rho $ on commutative cancellative archimedean semigroups S without idempotents (N-semigroups) such that $ S/\rho $ is noncancellative and without idempotents. These congruences are refinements of N-congruences; a congruence $ \eta $ is an N-congruence if $ S/\eta $ is an N-semigroup.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0308297-6
PII: S 0002-9939(1972)0308297-6
Article copyright: © Copyright 1972 American Mathematical Society