On universally catenarian pairs

• Autores: Mohamed Jaouhar Ben Abdallah, Noômen Jarboui
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 10, 2008, págs. 2170-2175
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.03.001
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• Resumen

  • If 1=n<8 and RS are integral domains, then (R,S) is called an n-catenarian pair if for each intermediate ring T (that is each ring T such that RTS) the polynomial ring in n indeterminates, T[n] is catenarian. This implies that (R,S) is m-catenarian for all m