When are Rees congruences principal?
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- by C. M. Reis PDF
- Proc. Amer. Math. Soc. 106 (1989), 593-597 Request permission
Abstract:
Let ${\rho _I}$ be the Rees congruence modulo the ideal $I$ of the free monoid ${X^*}$. In this short note we give necessary and sufficient conditions, in terms of the partial order induced by division on the complement of $I$, for ${\rho _I}$ to be principal. In particular, we prove that if $I$ is principal, so is ${\rho _I}$.References
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- C. M. Reis, Infix congruences on a free monoid, Trans. Amer. Math. Soc. 311 (1989), no. 2, 727–737. MR 978373, DOI 10.1090/S0002-9947-1989-0978373-0
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 593-597
- MSC: Primary 20M05; Secondary 20M10, 20M12
- DOI: https://doi.org/10.1090/S0002-9939-1989-0964460-5
- MathSciNet review: 964460