Noncancellative congruences on $N$-semigroups
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- by Robert P. Dickinson PDF
- Proc. Amer. Math. Soc. 36 (1972), 317-325 Request permission
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.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 36 (1972), 317-325
- MSC: Primary 20M10
- DOI: https://doi.org/10.1090/S0002-9939-1972-0308297-6
- MathSciNet review: 0308297