Abstract
Some new equivalences to the chain conjecture (the integral closure of a local domain is catenary) and to the catenary chain conjecture (the integral closure of a catenary local domain is catenary) are proved, as are some new characterizations of a local H-domain. Also, a fact which lends support to the chain conjecture is noted, and it is proved that the H-conjecture (a local H-domain is catenary) implies the catenary chain conjecture.
Research on this paper was supported in part by the National Science Foundation, Grant 28939.
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© 1973 Springer-Verlag
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Ratliff, L.J. (1973). Chain conjectures and H-domains. In: Brewer, J.W., Rutter, E.A. (eds) Conference on Commutative Algebra. Lecture Notes in Mathematics, vol 311. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068931
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DOI: https://doi.org/10.1007/BFb0068931
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